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Finding the Third Proportional to 126,472 and 190,542

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Solution

The third proportional to 126,472 and 190,542 is: 287,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,472 : 190,542 = 190,542 : x
  2. Step 2: Convert to fraction form
    126,472/190,542 = 190,542/x
  3. Step 3: Cross multiply
    126,472x = 190,542 × 190,542
  4. Step 4: Simplify right side
    126,472x = 36,306,253,764
  5. Step 5: Solve for x
    x = 36,306,253,764/126,472
  6. Step 6: Final answer
    x = 287,069.50

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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.