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Finding the Third Proportional to 126,432 and 271,612

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Solution

The third proportional to 126,432 and 271,612 is: 583,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,432 : 271,612 = 271,612 : x
  2. Step 2: Convert to fraction form
    126,432/271,612 = 271,612/x
  3. Step 3: Cross multiply
    126,432x = 271,612 × 271,612
  4. Step 4: Simplify right side
    126,432x = 73,773,078,544
  5. Step 5: Solve for x
    x = 73,773,078,544/126,432
  6. Step 6: Final answer
    x = 583,500.05

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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.