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Finding the Third Proportional to 83,704 and 125,741

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Solution

The third proportional to 83,704 and 125,741 is: 188,889.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,704 : 125,741 = 125,741 : x
  2. Step 2: Convert to fraction form
    83,704/125,741 = 125,741/x
  3. Step 3: Cross multiply
    83,704x = 125,741 × 125,741
  4. Step 4: Simplify right side
    83,704x = 15,810,799,081
  5. Step 5: Solve for x
    x = 15,810,799,081/83,704
  6. Step 6: Final answer
    x = 188,889.41

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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.