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Finding the Third Proportional to 126,764 and 275,426

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Solution

The third proportional to 126,764 and 275,426 is: 598,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,764 : 275,426 = 275,426 : x
  2. Step 2: Convert to fraction form
    126,764/275,426 = 275,426/x
  3. Step 3: Cross multiply
    126,764x = 275,426 × 275,426
  4. Step 4: Simplify right side
    126,764x = 75,859,481,476
  5. Step 5: Solve for x
    x = 75,859,481,476/126,764
  6. Step 6: Final answer
    x = 598,430.80

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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.