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Finding the Third Proportional to 80,263.13 and 120,174.75

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Solution

The third proportional to 80,263.13 and 120,174.75 is: 179,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,263.13 : 120,174.75 = 120,174.75 : x
  2. Step 2: Convert to fraction form
    80,263.13/120,174.75 = 120,174.75/x
  3. Step 3: Cross multiply
    80,263.13x = 120,174.75 × 120,174.75
  4. Step 4: Simplify right side
    80,263.13x = 14,441,970,537.56
  5. Step 5: Solve for x
    x = 14,441,970,537.56/80,263.13
  6. Step 6: Final answer
    x = 179,932.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.