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Spanish Mathematical Olympiad 1995 Day 1 Problem 3

Source:

January 20, 2013

geometrygeometry unsolved

Problem Statement

A line through the centroid G of the triangle ABC intersects the side AB at P and the side AC at Q Show that

\frac{PB}{PA} \cdot \frac{QC}{QA} \leq \frac{1}{4}

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Sorry for Triple-Posting. If possible, please merge the solutions to one document.
I think there was an error because it may have automatically triple-posted.

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