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Finding the Third Proportional to 126,966 and 271,422

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Solution

The third proportional to 126,966 and 271,422 is: 580,233.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,966 : 271,422 = 271,422 : x
  2. Step 2: Convert to fraction form
    126,966/271,422 = 271,422/x
  3. Step 3: Cross multiply
    126,966x = 271,422 × 271,422
  4. Step 4: Simplify right side
    126,966x = 73,669,902,084
  5. Step 5: Solve for x
    x = 73,669,902,084/126,966
  6. Step 6: Final answer
    x = 580,233.31

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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.