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Finding the Third Proportional to 41,136.50 and 89,809.50

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Solution

The third proportional to 41,136.50 and 89,809.50 is: 196,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,136.50 : 89,809.50 = 89,809.50 : x
  2. Step 2: Convert to fraction form
    41,136.50/89,809.50 = 89,809.50/x
  3. Step 3: Cross multiply
    41,136.50x = 89,809.50 × 89,809.50
  4. Step 4: Simplify right side
    41,136.50x = 8,065,746,290.25
  5. Step 5: Solve for x
    x = 8,065,746,290.25/41,136.50
  6. Step 6: Final answer
    x = 196,072.74

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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.