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Finding the Third Proportional to 80,546.06 and 120,772.69

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Solution

The third proportional to 80,546.06 and 120,772.69 is: 181,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,546.06 : 120,772.69 = 120,772.69 : x
  2. Step 2: Convert to fraction form
    80,546.06/120,772.69 = 120,772.69/x
  3. Step 3: Cross multiply
    80,546.06x = 120,772.69 × 120,772.69
  4. Step 4: Simplify right side
    80,546.06x = 14,586,042,045.97
  5. Step 5: Solve for x
    x = 14,586,042,045.97/80,546.06
  6. Step 6: Final answer
    x = 181,089.45

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Why These Related Problems?

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