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Finding the Third Proportional to 126,422 and 271,588

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Solution

The third proportional to 126,422 and 271,588 is: 583,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,422 : 271,588 = 271,588 : x
  2. Step 2: Convert to fraction form
    126,422/271,588 = 271,588/x
  3. Step 3: Cross multiply
    126,422x = 271,588 × 271,588
  4. Step 4: Simplify right side
    126,422x = 73,760,041,744
  5. Step 5: Solve for x
    x = 73,760,041,744/126,422
  6. Step 6: Final answer
    x = 583,443.09

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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.