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Finding the Third Proportional to 41,156 and 88,834

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Solution

The third proportional to 41,156 and 88,834 is: 191,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,156 : 88,834 = 88,834 : x
  2. Step 2: Convert to fraction form
    41,156/88,834 = 88,834/x
  3. Step 3: Cross multiply
    41,156x = 88,834 × 88,834
  4. Step 4: Simplify right side
    41,156x = 7,891,479,556
  5. Step 5: Solve for x
    x = 7,891,479,556/41,156
  6. Step 6: Final answer
    x = 191,745.54

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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.