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Finding the Third Proportional to 63,616 and 93,523

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Solution

The third proportional to 63,616 and 93,523 is: 137,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,616 : 93,523 = 93,523 : x
  2. Step 2: Convert to fraction form
    63,616/93,523 = 93,523/x
  3. Step 3: Cross multiply
    63,616x = 93,523 × 93,523
  4. Step 4: Simplify right side
    63,616x = 8,746,551,529
  5. Step 5: Solve for x
    x = 8,746,551,529/63,616
  6. Step 6: Final answer
    x = 137,489.81

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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.