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Finding the Third Proportional to 68,890 and 140,691

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Solution

The third proportional to 68,890 and 140,691 is: 287,327.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,890 : 140,691 = 140,691 : x
  2. Step 2: Convert to fraction form
    68,890/140,691 = 140,691/x
  3. Step 3: Cross multiply
    68,890x = 140,691 × 140,691
  4. Step 4: Simplify right side
    68,890x = 19,793,957,481
  5. Step 5: Solve for x
    x = 19,793,957,481/68,890
  6. Step 6: Final answer
    x = 287,327.01

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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.