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Finding the Third Proportional to 126,649.50 and 275,250

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Solution

The third proportional to 126,649.50 and 275,250 is: 598,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,649.50 : 275,250 = 275,250 : x
  2. Step 2: Convert to fraction form
    126,649.50/275,250 = 275,250/x
  3. Step 3: Cross multiply
    126,649.50x = 275,250 × 275,250
  4. Step 4: Simplify right side
    126,649.50x = 75,762,562,500
  5. Step 5: Solve for x
    x = 75,762,562,500/126,649.50
  6. Step 6: Final answer
    x = 598,206.57

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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.