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Finding the Third Proportional to 41,224 and 89,016

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Solution

The third proportional to 41,224 and 89,016 is: 192,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,224 : 89,016 = 89,016 : x
  2. Step 2: Convert to fraction form
    41,224/89,016 = 89,016/x
  3. Step 3: Cross multiply
    41,224x = 89,016 × 89,016
  4. Step 4: Simplify right side
    41,224x = 7,923,848,256
  5. Step 5: Solve for x
    x = 7,923,848,256/41,224
  6. Step 6: Final answer
    x = 192,214.44

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Why These Related Problems?

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