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Finding the Third Proportional to 126,880.50 and 275,625

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Solution

The third proportional to 126,880.50 and 275,625 is: 598,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,880.50 : 275,625 = 275,625 : x
  2. Step 2: Convert to fraction form
    126,880.50/275,625 = 275,625/x
  3. Step 3: Cross multiply
    126,880.50x = 275,625 × 275,625
  4. Step 4: Simplify right side
    126,880.50x = 75,969,140,625
  5. Step 5: Solve for x
    x = 75,969,140,625/126,880.50
  6. Step 6: Final answer
    x = 598,745.60

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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.