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Finding the Third Proportional to 57,909.94 and 125,593.03

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Solution

The third proportional to 57,909.94 and 125,593.03 is: 272,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,909.94 : 125,593.03 = 125,593.03 : x
  2. Step 2: Convert to fraction form
    57,909.94/125,593.03 = 125,593.03/x
  3. Step 3: Cross multiply
    57,909.94x = 125,593.03 × 125,593.03
  4. Step 4: Simplify right side
    57,909.94x = 15,773,609,498.56
  5. Step 5: Solve for x
    x = 15,773,609,498.56/57,909.94
  6. Step 6: Final answer
    x = 272,381.74

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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.