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Finding the Third Proportional to 126,761 and 275,416

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Solution

The third proportional to 126,761 and 275,416 is: 598,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,761 : 275,416 = 275,416 : x
  2. Step 2: Convert to fraction form
    126,761/275,416 = 275,416/x
  3. Step 3: Cross multiply
    126,761x = 275,416 × 275,416
  4. Step 4: Simplify right side
    126,761x = 75,853,973,056
  5. Step 5: Solve for x
    x = 75,853,973,056/126,761
  6. Step 6: Final answer
    x = 598,401.50

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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.