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Finding the Third Proportional to 125,309 and 271,393

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Solution

The third proportional to 125,309 and 271,393 is: 587,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,309 : 271,393 = 271,393 : x
  2. Step 2: Convert to fraction form
    125,309/271,393 = 271,393/x
  3. Step 3: Cross multiply
    125,309x = 271,393 × 271,393
  4. Step 4: Simplify right side
    125,309x = 73,654,160,449
  5. Step 5: Solve for x
    x = 73,654,160,449/125,309
  6. Step 6: Final answer
    x = 587,780.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.