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Finding the Third Proportional to 41,450 and 89,450

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Solution

The third proportional to 41,450 and 89,450 is: 193,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,450 : 89,450 = 89,450 : x
  2. Step 2: Convert to fraction form
    41,450/89,450 = 89,450/x
  3. Step 3: Cross multiply
    41,450x = 89,450 × 89,450
  4. Step 4: Simplify right side
    41,450x = 8,001,302,500
  5. Step 5: Solve for x
    x = 8,001,302,500/41,450
  6. Step 6: Final answer
    x = 193,035.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.