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Finding the Third Proportional to 63,921 and 95,517

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Solution

The third proportional to 63,921 and 95,517 is: 142,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,921 : 95,517 = 95,517 : x
  2. Step 2: Convert to fraction form
    63,921/95,517 = 95,517/x
  3. Step 3: Cross multiply
    63,921x = 95,517 × 95,517
  4. Step 4: Simplify right side
    63,921x = 9,123,497,289
  5. Step 5: Solve for x
    x = 9,123,497,289/63,921
  6. Step 6: Final answer
    x = 142,730.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.