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Finding the Third Proportional to 73,267 and 109,879

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Solution

The third proportional to 73,267 and 109,879 is: 164,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,267 : 109,879 = 109,879 : x
  2. Step 2: Convert to fraction form
    73,267/109,879 = 109,879/x
  3. Step 3: Cross multiply
    73,267x = 109,879 × 109,879
  4. Step 4: Simplify right side
    73,267x = 12,073,394,641
  5. Step 5: Solve for x
    x = 12,073,394,641/73,267
  6. Step 6: Final answer
    x = 164,786.26

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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.