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Finding the Third Proportional to 63,720 and 95,737

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Solution

The third proportional to 63,720 and 95,737 is: 143,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,720 : 95,737 = 95,737 : x
  2. Step 2: Convert to fraction form
    63,720/95,737 = 95,737/x
  3. Step 3: Cross multiply
    63,720x = 95,737 × 95,737
  4. Step 4: Simplify right side
    63,720x = 9,165,573,169
  5. Step 5: Solve for x
    x = 9,165,573,169/63,720
  6. Step 6: Final answer
    x = 143,841.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.