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Finding the Third Proportional to 126,432 and 271,452

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Solution

The third proportional to 126,432 and 271,452 is: 582,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,432 : 271,452 = 271,452 : x
  2. Step 2: Convert to fraction form
    126,432/271,452 = 271,452/x
  3. Step 3: Cross multiply
    126,432x = 271,452 × 271,452
  4. Step 4: Simplify right side
    126,432x = 73,686,188,304
  5. Step 5: Solve for x
    x = 73,686,188,304/126,432
  6. Step 6: Final answer
    x = 582,812.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.