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Finding the Third Proportional to 126,122 and 271,376

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Solution

The third proportional to 126,122 and 271,376 is: 583,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,122 : 271,376 = 271,376 : x
  2. Step 2: Convert to fraction form
    126,122/271,376 = 271,376/x
  3. Step 3: Cross multiply
    126,122x = 271,376 × 271,376
  4. Step 4: Simplify right side
    126,122x = 73,644,933,376
  5. Step 5: Solve for x
    x = 73,644,933,376/126,122
  6. Step 6: Final answer
    x = 583,918.22

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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.