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Finding the Third Proportional to 54,086 and 118,828

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Solution

The third proportional to 54,086 and 118,828 is: 261,067.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,086 : 118,828 = 118,828 : x
  2. Step 2: Convert to fraction form
    54,086/118,828 = 118,828/x
  3. Step 3: Cross multiply
    54,086x = 118,828 × 118,828
  4. Step 4: Simplify right side
    54,086x = 14,120,093,584
  5. Step 5: Solve for x
    x = 14,120,093,584/54,086
  6. Step 6: Final answer
    x = 261,067.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.