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Finding the Third Proportional to 54,013.22 and 81,766.13

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Solution

The third proportional to 54,013.22 and 81,766.13 is: 123,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,013.22 : 81,766.13 = 81,766.13 : x
  2. Step 2: Convert to fraction form
    54,013.22/81,766.13 = 81,766.13/x
  3. Step 3: Cross multiply
    54,013.22x = 81,766.13 × 81,766.13
  4. Step 4: Simplify right side
    54,013.22x = 6,685,699,197.52
  5. Step 5: Solve for x
    x = 6,685,699,197.52/54,013.22
  6. Step 6: Final answer
    x = 123,778.94

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Why These Related Problems?

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