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Finding the Third Proportional to 54,114 and 115,698

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Solution

The third proportional to 54,114 and 115,698 is: 247,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,114 : 115,698 = 115,698 : x
  2. Step 2: Convert to fraction form
    54,114/115,698 = 115,698/x
  3. Step 3: Cross multiply
    54,114x = 115,698 × 115,698
  4. Step 4: Simplify right side
    54,114x = 13,386,027,204
  5. Step 5: Solve for x
    x = 13,386,027,204/54,114
  6. Step 6: Final answer
    x = 247,367.17

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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.