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Finding the Third Proportional to 126,720 and 185,472

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Solution

The third proportional to 126,720 and 185,472 is: 271,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,720 : 185,472 = 185,472 : x
  2. Step 2: Convert to fraction form
    126,720/185,472 = 185,472/x
  3. Step 3: Cross multiply
    126,720x = 185,472 × 185,472
  4. Step 4: Simplify right side
    126,720x = 34,399,862,784
  5. Step 5: Solve for x
    x = 34,399,862,784/126,720
  6. Step 6: Final answer
    x = 271,463.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.