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Finding the Third Proportional to 54,072.59 and 116,464.96

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Solution

The third proportional to 54,072.59 and 116,464.96 is: 250,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072.59 : 116,464.96 = 116,464.96 : x
  2. Step 2: Convert to fraction form
    54,072.59/116,464.96 = 116,464.96/x
  3. Step 3: Cross multiply
    54,072.59x = 116,464.96 × 116,464.96
  4. Step 4: Simplify right side
    54,072.59x = 13,564,086,472.19
  5. Step 5: Solve for x
    x = 13,564,086,472.19/54,072.59
  6. Step 6: Final answer
    x = 250,849.59

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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.