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Finding the Third Proportional to 54,694 and 118,138

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Solution

The third proportional to 54,694 and 118,138 is: 255,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,694 : 118,138 = 118,138 : x
  2. Step 2: Convert to fraction form
    54,694/118,138 = 118,138/x
  3. Step 3: Cross multiply
    54,694x = 118,138 × 118,138
  4. Step 4: Simplify right side
    54,694x = 13,956,587,044
  5. Step 5: Solve for x
    x = 13,956,587,044/54,694
  6. Step 6: Final answer
    x = 255,175.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.