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Finding the Third Proportional to 57,909.50 and 125,782

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Solution

The third proportional to 57,909.50 and 125,782 is: 273,204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,909.50 : 125,782 = 125,782 : x
  2. Step 2: Convert to fraction form
    57,909.50/125,782 = 125,782/x
  3. Step 3: Cross multiply
    57,909.50x = 125,782 × 125,782
  4. Step 4: Simplify right side
    57,909.50x = 15,821,111,524
  5. Step 5: Solve for x
    x = 15,821,111,524/57,909.50
  6. Step 6: Final answer
    x = 273,204.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.