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Finding the Third Proportional to 57,650.80 and 126,652.36

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Solution

The third proportional to 57,650.80 and 126,652.36 is: 278,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,650.80 : 126,652.36 = 126,652.36 : x
  2. Step 2: Convert to fraction form
    57,650.80/126,652.36 = 126,652.36/x
  3. Step 3: Cross multiply
    57,650.80x = 126,652.36 × 126,652.36
  4. Step 4: Simplify right side
    57,650.80x = 16,040,820,135.25
  5. Step 5: Solve for x
    x = 16,040,820,135.25/57,650.80
  6. Step 6: Final answer
    x = 278,241.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.