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Finding the Third Proportional to 41,481 and 89,442

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Solution

The third proportional to 41,481 and 89,442 is: 192,856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,481 : 89,442 = 89,442 : x
  2. Step 2: Convert to fraction form
    41,481/89,442 = 89,442/x
  3. Step 3: Cross multiply
    41,481x = 89,442 × 89,442
  4. Step 4: Simplify right side
    41,481x = 7,999,871,364
  5. Step 5: Solve for x
    x = 7,999,871,364/41,481
  6. Step 6: Final answer
    x = 192,856.28

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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.