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Finding the Third Proportional to 68,976 and 140,868

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Solution

The third proportional to 68,976 and 140,868 is: 287,691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,976 : 140,868 = 140,868 : x
  2. Step 2: Convert to fraction form
    68,976/140,868 = 140,868/x
  3. Step 3: Cross multiply
    68,976x = 140,868 × 140,868
  4. Step 4: Simplify right side
    68,976x = 19,843,793,424
  5. Step 5: Solve for x
    x = 19,843,793,424/68,976
  6. Step 6: Final answer
    x = 287,691.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.