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Finding the Third Proportional to 41,136 and 89,244.75

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Solution

The third proportional to 41,136 and 89,244.75 is: 193,616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,136 : 89,244.75 = 89,244.75 : x
  2. Step 2: Convert to fraction form
    41,136/89,244.75 = 89,244.75/x
  3. Step 3: Cross multiply
    41,136x = 89,244.75 × 89,244.75
  4. Step 4: Simplify right side
    41,136x = 7,964,625,402.56
  5. Step 5: Solve for x
    x = 7,964,625,402.56/41,136
  6. Step 6: Final answer
    x = 193,616.91

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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.