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Finding the Third Proportional to 63,614 and 93,477

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Solution

The third proportional to 63,614 and 93,477 is: 137,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,614 : 93,477 = 93,477 : x
  2. Step 2: Convert to fraction form
    63,614/93,477 = 93,477/x
  3. Step 3: Cross multiply
    63,614x = 93,477 × 93,477
  4. Step 4: Simplify right side
    63,614x = 8,737,949,529
  5. Step 5: Solve for x
    x = 8,737,949,529/63,614
  6. Step 6: Final answer
    x = 137,358.91

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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.