Sydney outscored the 36ers 26-9 from that point to record their biggest score of the season and just their third win from ten games.
Harrington was at the forefront of the Kings’ charge, scoring 27 points on nine of 15 field goal shooting, hitting four from seven three-pointers.
The American also grabbed 11 rebounds and dished off five assists.
It was far from a one-man show for the Kings.
Point guard Jason Cadee tallied 22 points, making five of seven three- pointers and had five assists and import shooting guard Marcus Thornton tallied 17 points and five assists.
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“Tonight we just came out and played for 40 minutes, we didn’t have any letdowns,” Harrington said.
“We may have let them cut it to six, but there was no panic and guys just stayed the course and we found a way to win a basketball game.”
Overall the Kings shot at a sizzling 54 per cent and hit 13 of 27 from long range.
Livewire import guard Jerome Randle again shone for Adelaide, leading their scoring with 22, though he missed six of his eight three-point shots.
Adelaide led by six early on, but were up by just one at quarter-time.
Harrington rattled up 13 points in the second quarter, hitting three straight long bombs inside the last two minutes of that period, which Sydney won 33-17.
A 12-2 run towards the end of the third quarter got Adelaide back within six, but a Cadee long bomb stretched the gap to nine at the final change.
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“Our effort was very poor,” Adelaide coach Joey Wright said.
“We haven’t shown a lot of consistent form in the last three or four games.”