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Finding the Third Proportional to 88,761 and 124,849

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Solution

The third proportional to 88,761 and 124,849 is: 175,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,761 : 124,849 = 124,849 : x
  2. Step 2: Convert to fraction form
    88,761/124,849 = 124,849/x
  3. Step 3: Cross multiply
    88,761x = 124,849 × 124,849
  4. Step 4: Simplify right side
    88,761x = 15,587,272,801
  5. Step 5: Solve for x
    x = 15,587,272,801/88,761
  6. Step 6: Final answer
    x = 175,609.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.