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Finding the Third Proportional to 54,297 and 117,874

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Solution

The third proportional to 54,297 and 117,874 is: 255,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,297 : 117,874 = 117,874 : x
  2. Step 2: Convert to fraction form
    54,297/117,874 = 117,874/x
  3. Step 3: Cross multiply
    54,297x = 117,874 × 117,874
  4. Step 4: Simplify right side
    54,297x = 13,894,279,876
  5. Step 5: Solve for x
    x = 13,894,279,876/54,297
  6. Step 6: Final answer
    x = 255,894.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.