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Finding the Third Proportional to 83,860 and 126,872

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Solution

The third proportional to 83,860 and 126,872 is: 191,944.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,860 : 126,872 = 126,872 : x
  2. Step 2: Convert to fraction form
    83,860/126,872 = 126,872/x
  3. Step 3: Cross multiply
    83,860x = 126,872 × 126,872
  4. Step 4: Simplify right side
    83,860x = 16,096,504,384
  5. Step 5: Solve for x
    x = 16,096,504,384/83,860
  6. Step 6: Final answer
    x = 191,944.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.