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Finding the Third Proportional to 41,928 and 89,853

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Solution

The third proportional to 41,928 and 89,853 is: 192,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,928 : 89,853 = 89,853 : x
  2. Step 2: Convert to fraction form
    41,928/89,853 = 89,853/x
  3. Step 3: Cross multiply
    41,928x = 89,853 × 89,853
  4. Step 4: Simplify right side
    41,928x = 8,073,561,609
  5. Step 5: Solve for x
    x = 8,073,561,609/41,928
  6. Step 6: Final answer
    x = 192,557.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.