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Finding the Third Proportional to 126,781.50 and 197,439

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Solution

The third proportional to 126,781.50 and 197,439 is: 307,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,781.50 : 197,439 = 197,439 : x
  2. Step 2: Convert to fraction form
    126,781.50/197,439 = 197,439/x
  3. Step 3: Cross multiply
    126,781.50x = 197,439 × 197,439
  4. Step 4: Simplify right side
    126,781.50x = 38,982,158,721
  5. Step 5: Solve for x
    x = 38,982,158,721/126,781.50
  6. Step 6: Final answer
    x = 307,475.13

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.