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Finding the Third Proportional to 96,704 and 141,744

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Solution

The third proportional to 96,704 and 141,744 is: 207,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,704 : 141,744 = 141,744 : x
  2. Step 2: Convert to fraction form
    96,704/141,744 = 141,744/x
  3. Step 3: Cross multiply
    96,704x = 141,744 × 141,744
  4. Step 4: Simplify right side
    96,704x = 20,091,361,536
  5. Step 5: Solve for x
    x = 20,091,361,536/96,704
  6. Step 6: Final answer
    x = 207,761.43

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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.