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Finding the Third Proportional to 87,471 and 126,429.75

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Solution

The third proportional to 87,471 and 126,429.75 is: 182,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,471 : 126,429.75 = 126,429.75 : x
  2. Step 2: Convert to fraction form
    87,471/126,429.75 = 126,429.75/x
  3. Step 3: Cross multiply
    87,471x = 126,429.75 × 126,429.75
  4. Step 4: Simplify right side
    87,471x = 15,984,481,685.06
  5. Step 5: Solve for x
    x = 15,984,481,685.06/87,471
  6. Step 6: Final answer
    x = 182,740.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.