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Finding the Third Proportional to 41,167 and 89,867

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Solution

The third proportional to 41,167 and 89,867 is: 196,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,167 : 89,867 = 89,867 : x
  2. Step 2: Convert to fraction form
    41,167/89,867 = 89,867/x
  3. Step 3: Cross multiply
    41,167x = 89,867 × 89,867
  4. Step 4: Simplify right side
    41,167x = 8,076,077,689
  5. Step 5: Solve for x
    x = 8,076,077,689/41,167
  6. Step 6: Final answer
    x = 196,178.44

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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.