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Finding the Third Proportional to 80,998.73 and 121,498.10

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Solution

The third proportional to 80,998.73 and 121,498.10 is: 182,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,998.73 : 121,498.10 = 121,498.10 : x
  2. Step 2: Convert to fraction form
    80,998.73/121,498.10 = 121,498.10/x
  3. Step 3: Cross multiply
    80,998.73x = 121,498.10 × 121,498.10
  4. Step 4: Simplify right side
    80,998.73x = 14,761,788,683.29
  5. Step 5: Solve for x
    x = 14,761,788,683.29/80,998.73
  6. Step 6: Final answer
    x = 182,247.15

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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.