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Finding the Third Proportional to 126,471 and 169,167.75

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Solution

The third proportional to 126,471 and 169,167.75 is: 226,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,471 : 169,167.75 = 169,167.75 : x
  2. Step 2: Convert to fraction form
    126,471/169,167.75 = 169,167.75/x
  3. Step 3: Cross multiply
    126,471x = 169,167.75 × 169,167.75
  4. Step 4: Simplify right side
    126,471x = 28,617,727,640.06
  5. Step 5: Solve for x
    x = 28,617,727,640.06/126,471
  6. Step 6: Final answer
    x = 226,278.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.