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Finding the Third Proportional to 124,649 and 271,857

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Solution

The third proportional to 124,649 and 271,857 is: 592,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,649 : 271,857 = 271,857 : x
  2. Step 2: Convert to fraction form
    124,649/271,857 = 271,857/x
  3. Step 3: Cross multiply
    124,649x = 271,857 × 271,857
  4. Step 4: Simplify right side
    124,649x = 73,906,228,449
  5. Step 5: Solve for x
    x = 73,906,228,449/124,649
  6. Step 6: Final answer
    x = 592,914.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.