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Finding the Third Proportional to 63,872 and 96,691

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Solution

The third proportional to 63,872 and 96,691 is: 146,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,872 : 96,691 = 96,691 : x
  2. Step 2: Convert to fraction form
    63,872/96,691 = 96,691/x
  3. Step 3: Cross multiply
    63,872x = 96,691 × 96,691
  4. Step 4: Simplify right side
    63,872x = 9,349,149,481
  5. Step 5: Solve for x
    x = 9,349,149,481/63,872
  6. Step 6: Final answer
    x = 146,373.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.