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Finding the Third Proportional to 54,506.25 and 116,893.13

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Solution

The third proportional to 54,506.25 and 116,893.13 is: 250,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,506.25 : 116,893.13 = 116,893.13 : x
  2. Step 2: Convert to fraction form
    54,506.25/116,893.13 = 116,893.13/x
  3. Step 3: Cross multiply
    54,506.25x = 116,893.13 × 116,893.13
  4. Step 4: Simplify right side
    54,506.25x = 13,664,002,672.27
  5. Step 5: Solve for x
    x = 13,664,002,672.27/54,506.25
  6. Step 6: Final answer
    x = 250,686.90

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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.