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Finding the Third Proportional to 41,247 and 89,010

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Solution

The third proportional to 41,247 and 89,010 is: 192,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,247 : 89,010 = 89,010 : x
  2. Step 2: Convert to fraction form
    41,247/89,010 = 89,010/x
  3. Step 3: Cross multiply
    41,247x = 89,010 × 89,010
  4. Step 4: Simplify right side
    41,247x = 7,922,780,100
  5. Step 5: Solve for x
    x = 7,922,780,100/41,247
  6. Step 6: Final answer
    x = 192,081.37

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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.