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Finding the Third Proportional to 41,230 and 89,866

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Solution

The third proportional to 41,230 and 89,866 is: 195,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,230 : 89,866 = 89,866 : x
  2. Step 2: Convert to fraction form
    41,230/89,866 = 89,866/x
  3. Step 3: Cross multiply
    41,230x = 89,866 × 89,866
  4. Step 4: Simplify right side
    41,230x = 8,075,897,956
  5. Step 5: Solve for x
    x = 8,075,897,956/41,230
  6. Step 6: Final answer
    x = 195,874.31

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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.