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Finding the Third Proportional to 126,244 and 271,562

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Solution

The third proportional to 126,244 and 271,562 is: 584,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,244 : 271,562 = 271,562 : x
  2. Step 2: Convert to fraction form
    126,244/271,562 = 271,562/x
  3. Step 3: Cross multiply
    126,244x = 271,562 × 271,562
  4. Step 4: Simplify right side
    126,244x = 73,745,919,844
  5. Step 5: Solve for x
    x = 73,745,919,844/126,244
  6. Step 6: Final answer
    x = 584,153.86

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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.