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Finding the Third Proportional to 63,606 and 93,463

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Solution

The third proportional to 63,606 and 93,463 is: 137,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,606 : 93,463 = 93,463 : x
  2. Step 2: Convert to fraction form
    63,606/93,463 = 93,463/x
  3. Step 3: Cross multiply
    63,606x = 93,463 × 93,463
  4. Step 4: Simplify right side
    63,606x = 8,735,332,369
  5. Step 5: Solve for x
    x = 8,735,332,369/63,606
  6. Step 6: Final answer
    x = 137,335.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.