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Finding the Third Proportional to 81,613.83 and 126,111.30

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Solution

The third proportional to 81,613.83 and 126,111.30 is: 194,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,613.83 : 126,111.30 = 126,111.30 : x
  2. Step 2: Convert to fraction form
    81,613.83/126,111.30 = 126,111.30/x
  3. Step 3: Cross multiply
    81,613.83x = 126,111.30 × 126,111.30
  4. Step 4: Simplify right side
    81,613.83x = 15,904,061,169.98
  5. Step 5: Solve for x
    x = 15,904,061,169.98/81,613.83
  6. Step 6: Final answer
    x = 194,869.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.