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Finding the Third Proportional to 54,163.69 and 116,893.13

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Solution

The third proportional to 54,163.69 and 116,893.13 is: 252,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,163.69 : 116,893.13 = 116,893.13 : x
  2. Step 2: Convert to fraction form
    54,163.69/116,893.13 = 116,893.13/x
  3. Step 3: Cross multiply
    54,163.69x = 116,893.13 × 116,893.13
  4. Step 4: Simplify right side
    54,163.69x = 13,664,002,672.27
  5. Step 5: Solve for x
    x = 13,664,002,672.27/54,163.69
  6. Step 6: Final answer
    x = 252,272.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.