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Finding the Third Proportional to 79,078.50 and 126,474.75

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Solution

The third proportional to 79,078.50 and 126,474.75 is: 202,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,078.50 : 126,474.75 = 126,474.75 : x
  2. Step 2: Convert to fraction form
    79,078.50/126,474.75 = 126,474.75/x
  3. Step 3: Cross multiply
    79,078.50x = 126,474.75 × 126,474.75
  4. Step 4: Simplify right side
    79,078.50x = 15,995,862,387.56
  5. Step 5: Solve for x
    x = 15,995,862,387.56/79,078.50
  6. Step 6: Final answer
    x = 202,278.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.