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Finding the Third Proportional to 54,568.69 and 115,743.94

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Solution

The third proportional to 54,568.69 and 115,743.94 is: 245,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,568.69 : 115,743.94 = 115,743.94 : x
  2. Step 2: Convert to fraction form
    54,568.69/115,743.94 = 115,743.94/x
  3. Step 3: Cross multiply
    54,568.69x = 115,743.94 × 115,743.94
  4. Step 4: Simplify right side
    54,568.69x = 13,396,659,068.00
  5. Step 5: Solve for x
    x = 13,396,659,068.00/54,568.69
  6. Step 6: Final answer
    x = 245,500.85

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.