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Finding the Third Proportional to 73,879 and 110,790

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Solution

The third proportional to 73,879 and 110,790 is: 166,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,879 : 110,790 = 110,790 : x
  2. Step 2: Convert to fraction form
    73,879/110,790 = 110,790/x
  3. Step 3: Cross multiply
    73,879x = 110,790 × 110,790
  4. Step 4: Simplify right side
    73,879x = 12,274,424,100
  5. Step 5: Solve for x
    x = 12,274,424,100/73,879
  6. Step 6: Final answer
    x = 166,142.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.