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Finding the Third Proportional to 41,613.75 and 89,181

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Solution

The third proportional to 41,613.75 and 89,181 is: 191,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,613.75 : 89,181 = 89,181 : x
  2. Step 2: Convert to fraction form
    41,613.75/89,181 = 89,181/x
  3. Step 3: Cross multiply
    41,613.75x = 89,181 × 89,181
  4. Step 4: Simplify right side
    41,613.75x = 7,953,250,761
  5. Step 5: Solve for x
    x = 7,953,250,761/41,613.75
  6. Step 6: Final answer
    x = 191,120.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.