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Finding the Third Proportional to 41,992 and 92,176

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Solution

The third proportional to 41,992 and 92,176 is: 202,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,992 : 92,176 = 92,176 : x
  2. Step 2: Convert to fraction form
    41,992/92,176 = 92,176/x
  3. Step 3: Cross multiply
    41,992x = 92,176 × 92,176
  4. Step 4: Simplify right side
    41,992x = 8,496,414,976
  5. Step 5: Solve for x
    x = 8,496,414,976/41,992
  6. Step 6: Final answer
    x = 202,334.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.