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If x, y, and z are positive and x/y=y/z, what is the geometric mean?
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If x, y, and z are positive and x/y=y/z, what is the geometric mean?

User Jamie Deith
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the geometric mean for three terms is (xyz)^(1/3)

x=y^2/z so now the equation becomes...

[(y^2/z)*y*z)]^(1/3)

(y^3)^(1/3)

y

So the geometric mean is y.
User Ofir Attal
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