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Finding the Third Proportional to 41,394 and 89,990

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Solution

The third proportional to 41,394 and 89,990 is: 195,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,394 : 89,990 = 89,990 : x
  2. Step 2: Convert to fraction form
    41,394/89,990 = 89,990/x
  3. Step 3: Cross multiply
    41,394x = 89,990 × 89,990
  4. Step 4: Simplify right side
    41,394x = 8,098,200,100
  5. Step 5: Solve for x
    x = 8,098,200,100/41,394
  6. Step 6: Final answer
    x = 195,637.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.