On the winning play, Zusi used a set-up from C.J. Sapong to launch a shot from the penalty area into the net.
Benny Feilhaber added a tally for Sporting (12-9-6), which pulled into a first-place tie with Montreal in the Eastern Conference.
Edson Buddle scored for the Rapids (10-8-9), whose nine-game unbeaten streak was ended.
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