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Finding the Third Proportional to 41,136 and 89,811.75

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Solution

The third proportional to 41,136 and 89,811.75 is: 196,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,136 : 89,811.75 = 89,811.75 : x
  2. Step 2: Convert to fraction form
    41,136/89,811.75 = 89,811.75/x
  3. Step 3: Cross multiply
    41,136x = 89,811.75 × 89,811.75
  4. Step 4: Simplify right side
    41,136x = 8,066,150,438.06
  5. Step 5: Solve for x
    x = 8,066,150,438.06/41,136
  6. Step 6: Final answer
    x = 196,084.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.