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Euclidean 2Dhard
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A point PPP is located inside a triangle ABCABCABC. If the areas of triangles PAB,PBC,PAB, PBC,PAB,PBC, and PCAPCAPCA are 12,18,12, 18,12,18, and 242424 respectively, find the ratio of the distance from PPP to side ABABAB to the distance from PPP to side BCBCBC.