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Finding the Third Proportional to 68,644 and 103,694

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Solution

The third proportional to 68,644 and 103,694 is: 156,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,644 : 103,694 = 103,694 : x
  2. Step 2: Convert to fraction form
    68,644/103,694 = 103,694/x
  3. Step 3: Cross multiply
    68,644x = 103,694 × 103,694
  4. Step 4: Simplify right side
    68,644x = 10,752,445,636
  5. Step 5: Solve for x
    x = 10,752,445,636/68,644
  6. Step 6: Final answer
    x = 156,640.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.