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Finding the Third Proportional to 68,990 and 106,941

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Solution

The third proportional to 68,990 and 106,941 is: 165,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,990 : 106,941 = 106,941 : x
  2. Step 2: Convert to fraction form
    68,990/106,941 = 106,941/x
  3. Step 3: Cross multiply
    68,990x = 106,941 × 106,941
  4. Step 4: Simplify right side
    68,990x = 11,436,377,481
  5. Step 5: Solve for x
    x = 11,436,377,481/68,990
  6. Step 6: Final answer
    x = 165,768.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.