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Finding the Third Proportional to 95,742 and 133,839

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Solution

The third proportional to 95,742 and 133,839 is: 187,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,742 : 133,839 = 133,839 : x
  2. Step 2: Convert to fraction form
    95,742/133,839 = 133,839/x
  3. Step 3: Cross multiply
    95,742x = 133,839 × 133,839
  4. Step 4: Simplify right side
    95,742x = 17,912,877,921
  5. Step 5: Solve for x
    x = 17,912,877,921/95,742
  6. Step 6: Final answer
    x = 187,095.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.