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Finding the Third Proportional to 41,251 and 89,018

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Solution

The third proportional to 41,251 and 89,018 is: 192,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,251 : 89,018 = 89,018 : x
  2. Step 2: Convert to fraction form
    41,251/89,018 = 89,018/x
  3. Step 3: Cross multiply
    41,251x = 89,018 × 89,018
  4. Step 4: Simplify right side
    41,251x = 7,924,204,324
  5. Step 5: Solve for x
    x = 7,924,204,324/41,251
  6. Step 6: Final answer
    x = 192,097.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.