Three quantities x, y, z are said to be in continued proportion. Which of the following quantity is known as mean proportion?
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If x, y and z are in continued proportion then y is called the mean proportional (or geometric mean) of x and z. If y is the mean proportional of x and z, y^2 = xz, i.e., y = +√xz. If x, y and z are in continued proportion then z is called the third proportional. For example, the third proportional of 4, 8 is 16.
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