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Finding the Third Proportional to 68,917 and 140,751

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Solution

The third proportional to 68,917 and 140,751 is: 287,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,917 : 140,751 = 140,751 : x
  2. Step 2: Convert to fraction form
    68,917/140,751 = 140,751/x
  3. Step 3: Cross multiply
    68,917x = 140,751 × 140,751
  4. Step 4: Simplify right side
    68,917x = 19,810,844,001
  5. Step 5: Solve for x
    x = 19,810,844,001/68,917
  6. Step 6: Final answer
    x = 287,459.47

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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.