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Asian American Male with a 3.72 GPA and a 164 on the LSAT? What are my chances at the University of Texas, Georgetown, UVA, Cornell, Northwestern?

Lots of great extracurricular things like internships and leadership positions.

Your extracurriculars aren't going to make up for that LSAT. Retake.

Plus I don't think affirmative action will help you much. It tends to assist blacks, Native Americans, and Latinos more (communities that actually need it)