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Finding the Third Proportional to 83,702 and 125,738

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Solution

The third proportional to 83,702 and 125,738 is: 188,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,702 : 125,738 = 125,738 : x
  2. Step 2: Convert to fraction form
    83,702/125,738 = 125,738/x
  3. Step 3: Cross multiply
    83,702x = 125,738 × 125,738
  4. Step 4: Simplify right side
    83,702x = 15,810,044,644
  5. Step 5: Solve for x
    x = 15,810,044,644/83,702
  6. Step 6: Final answer
    x = 188,884.91

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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.