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Finding the Third Proportional to 63,614 and 132,458

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Solution

The third proportional to 63,614 and 132,458 is: 275,805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,614 : 132,458 = 132,458 : x
  2. Step 2: Convert to fraction form
    63,614/132,458 = 132,458/x
  3. Step 3: Cross multiply
    63,614x = 132,458 × 132,458
  4. Step 4: Simplify right side
    63,614x = 17,545,121,764
  5. Step 5: Solve for x
    x = 17,545,121,764/63,614
  6. Step 6: Final answer
    x = 275,805.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.