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Finding the Third Proportional to 126,972 and 271,434

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Solution

The third proportional to 126,972 and 271,434 is: 580,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,972 : 271,434 = 271,434 : x
  2. Step 2: Convert to fraction form
    126,972/271,434 = 271,434/x
  3. Step 3: Cross multiply
    126,972x = 271,434 × 271,434
  4. Step 4: Simplify right side
    126,972x = 73,676,416,356
  5. Step 5: Solve for x
    x = 73,676,416,356/126,972
  6. Step 6: Final answer
    x = 580,257.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.