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Finding the Third Proportional to 126,891 and 275,652

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Solution

The third proportional to 126,891 and 275,652 is: 598,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,891 : 275,652 = 275,652 : x
  2. Step 2: Convert to fraction form
    126,891/275,652 = 275,652/x
  3. Step 3: Cross multiply
    126,891x = 275,652 × 275,652
  4. Step 4: Simplify right side
    126,891x = 75,984,025,104
  5. Step 5: Solve for x
    x = 75,984,025,104/126,891
  6. Step 6: Final answer
    x = 598,813.35

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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.