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Finding the Third Proportional to 68,940 and 110,609

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Solution

The third proportional to 68,940 and 110,609 is: 177,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,940 : 110,609 = 110,609 : x
  2. Step 2: Convert to fraction form
    68,940/110,609 = 110,609/x
  3. Step 3: Cross multiply
    68,940x = 110,609 × 110,609
  4. Step 4: Simplify right side
    68,940x = 12,234,350,881
  5. Step 5: Solve for x
    x = 12,234,350,881/68,940
  6. Step 6: Final answer
    x = 177,463.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.