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Finding the Third Proportional to 126,759 and 275,412

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Solution

The third proportional to 126,759 and 275,412 is: 598,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,759 : 275,412 = 275,412 : x
  2. Step 2: Convert to fraction form
    126,759/275,412 = 275,412/x
  3. Step 3: Cross multiply
    126,759x = 275,412 × 275,412
  4. Step 4: Simplify right side
    126,759x = 75,851,769,744
  5. Step 5: Solve for x
    x = 75,851,769,744/126,759
  6. Step 6: Final answer
    x = 598,393.56

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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.