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Finding the Third Proportional to 54,292 and 117,868

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Solution

The third proportional to 54,292 and 117,868 is: 255,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,292 : 117,868 = 117,868 : x
  2. Step 2: Convert to fraction form
    54,292/117,868 = 117,868/x
  3. Step 3: Cross multiply
    54,292x = 117,868 × 117,868
  4. Step 4: Simplify right side
    54,292x = 13,892,865,424
  5. Step 5: Solve for x
    x = 13,892,865,424/54,292
  6. Step 6: Final answer
    x = 255,891.58

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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.