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Finding the Third Proportional to 41,224 and 89,808

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Solution

The third proportional to 41,224 and 89,808 is: 195,650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,224 : 89,808 = 89,808 : x
  2. Step 2: Convert to fraction form
    41,224/89,808 = 89,808/x
  3. Step 3: Cross multiply
    41,224x = 89,808 × 89,808
  4. Step 4: Simplify right side
    41,224x = 8,065,476,864
  5. Step 5: Solve for x
    x = 8,065,476,864/41,224
  6. Step 6: Final answer
    x = 195,650.03

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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.