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Finding the Third Proportional to 126,512 and 271,784

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Solution

The third proportional to 126,512 and 271,784 is: 583,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,512 : 271,784 = 271,784 : x
  2. Step 2: Convert to fraction form
    126,512/271,784 = 271,784/x
  3. Step 3: Cross multiply
    126,512x = 271,784 × 271,784
  4. Step 4: Simplify right side
    126,512x = 73,866,542,656
  5. Step 5: Solve for x
    x = 73,866,542,656/126,512
  6. Step 6: Final answer
    x = 583,869.85

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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.