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Finding the Third Proportional to 54,259 and 116,698

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Solution

The third proportional to 54,259 and 116,698 is: 250,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,259 : 116,698 = 116,698 : x
  2. Step 2: Convert to fraction form
    54,259/116,698 = 116,698/x
  3. Step 3: Cross multiply
    54,259x = 116,698 × 116,698
  4. Step 4: Simplify right side
    54,259x = 13,618,423,204
  5. Step 5: Solve for x
    x = 13,618,423,204/54,259
  6. Step 6: Final answer
    x = 250,989.20

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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.