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Finding the Third Proportional to 55,540.69 and 108,310.61

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Solution

The third proportional to 55,540.69 and 108,310.61 is: 211,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,540.69 : 108,310.61 = 108,310.61 : x
  2. Step 2: Convert to fraction form
    55,540.69/108,310.61 = 108,310.61/x
  3. Step 3: Cross multiply
    55,540.69x = 108,310.61 × 108,310.61
  4. Step 4: Simplify right side
    55,540.69x = 11,731,187,257.01
  5. Step 5: Solve for x
    x = 11,731,187,257.01/55,540.69
  6. Step 6: Final answer
    x = 211,217.90

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.