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Finding the Third Proportional to 126,765 and 275,424

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Solution

The third proportional to 126,765 and 275,424 is: 598,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,765 : 275,424 = 275,424 : x
  2. Step 2: Convert to fraction form
    126,765/275,424 = 275,424/x
  3. Step 3: Cross multiply
    126,765x = 275,424 × 275,424
  4. Step 4: Simplify right side
    126,765x = 75,858,379,776
  5. Step 5: Solve for x
    x = 75,858,379,776/126,765
  6. Step 6: Final answer
    x = 598,417.38

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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.