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Finding the Third Proportional to 125,309 and 275,542

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Solution

The third proportional to 125,309 and 275,542 is: 605,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,309 : 275,542 = 275,542 : x
  2. Step 2: Convert to fraction form
    125,309/275,542 = 275,542/x
  3. Step 3: Cross multiply
    125,309x = 275,542 × 275,542
  4. Step 4: Simplify right side
    125,309x = 75,923,393,764
  5. Step 5: Solve for x
    x = 75,923,393,764/125,309
  6. Step 6: Final answer
    x = 605,889.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.