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Finding the Third Proportional to 80,463.61 and 121,731.13

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Solution

The third proportional to 80,463.61 and 121,731.13 is: 184,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,463.61 : 121,731.13 = 121,731.13 : x
  2. Step 2: Convert to fraction form
    80,463.61/121,731.13 = 121,731.13/x
  3. Step 3: Cross multiply
    80,463.61x = 121,731.13 × 121,731.13
  4. Step 4: Simplify right side
    80,463.61x = 14,818,469,171.33
  5. Step 5: Solve for x
    x = 14,818,469,171.33/80,463.61
  6. Step 6: Final answer
    x = 184,163.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.