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Finding the Third Proportional to 89,934 and 192,990

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Solution

The third proportional to 89,934 and 192,990 is: 414,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,934 : 192,990 = 192,990 : x
  2. Step 2: Convert to fraction form
    89,934/192,990 = 192,990/x
  3. Step 3: Cross multiply
    89,934x = 192,990 × 192,990
  4. Step 4: Simplify right side
    89,934x = 37,245,140,100
  5. Step 5: Solve for x
    x = 37,245,140,100/89,934
  6. Step 6: Final answer
    x = 414,138.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.