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Finding the Third Proportional to 54,739.13 and 117,918.84

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Solution

The third proportional to 54,739.13 and 117,918.84 is: 254,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,739.13 : 117,918.84 = 117,918.84 : x
  2. Step 2: Convert to fraction form
    54,739.13/117,918.84 = 117,918.84/x
  3. Step 3: Cross multiply
    54,739.13x = 117,918.84 × 117,918.84
  4. Step 4: Simplify right side
    54,739.13x = 13,904,853,711.34
  5. Step 5: Solve for x
    x = 13,904,853,711.34/54,739.13
  6. Step 6: Final answer
    x = 254,020.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.