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Finding the Third Proportional to 54,513.56 and 116,909.44

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Solution

The third proportional to 54,513.56 and 116,909.44 is: 250,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,513.56 : 116,909.44 = 116,909.44 : x
  2. Step 2: Convert to fraction form
    54,513.56/116,909.44 = 116,909.44/x
  3. Step 3: Cross multiply
    54,513.56x = 116,909.44 × 116,909.44
  4. Step 4: Simplify right side
    54,513.56x = 13,667,816,576.57
  5. Step 5: Solve for x
    x = 13,667,816,576.57/54,513.56
  6. Step 6: Final answer
    x = 250,723.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.