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Finding the Third Proportional to 54,874 and 118,070

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Solution

The third proportional to 54,874 and 118,070 is: 254,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,874 : 118,070 = 118,070 : x
  2. Step 2: Convert to fraction form
    54,874/118,070 = 118,070/x
  3. Step 3: Cross multiply
    54,874x = 118,070 × 118,070
  4. Step 4: Simplify right side
    54,874x = 13,940,524,900
  5. Step 5: Solve for x
    x = 13,940,524,900/54,874
  6. Step 6: Final answer
    x = 254,046.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.