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Finding the Third Proportional to 71,998 and 95,537

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Solution

The third proportional to 71,998 and 95,537 is: 126,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,998 : 95,537 = 95,537 : x
  2. Step 2: Convert to fraction form
    71,998/95,537 = 95,537/x
  3. Step 3: Cross multiply
    71,998x = 95,537 × 95,537
  4. Step 4: Simplify right side
    71,998x = 9,127,318,369
  5. Step 5: Solve for x
    x = 9,127,318,369/71,998
  6. Step 6: Final answer
    x = 126,771.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.