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Finding the Third Proportional to 80,079 and 125,617.50

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Solution

The third proportional to 80,079 and 125,617.50 is: 197,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,079 : 125,617.50 = 125,617.50 : x
  2. Step 2: Convert to fraction form
    80,079/125,617.50 = 125,617.50/x
  3. Step 3: Cross multiply
    80,079x = 125,617.50 × 125,617.50
  4. Step 4: Simplify right side
    80,079x = 15,779,756,306.25
  5. Step 5: Solve for x
    x = 15,779,756,306.25/80,079
  6. Step 6: Final answer
    x = 197,052.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.