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Finding the Third Proportional to 126,649 and 275,248

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Solution

The third proportional to 126,649 and 275,248 is: 598,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,649 : 275,248 = 275,248 : x
  2. Step 2: Convert to fraction form
    126,649/275,248 = 275,248/x
  3. Step 3: Cross multiply
    126,649x = 275,248 × 275,248
  4. Step 4: Simplify right side
    126,649x = 75,761,461,504
  5. Step 5: Solve for x
    x = 75,761,461,504/126,649
  6. Step 6: Final answer
    x = 598,200.23

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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.