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Finding the Third Proportional to 50,892 and 112,116

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Solution

The third proportional to 50,892 and 112,116 is: 246,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,892 : 112,116 = 112,116 : x
  2. Step 2: Convert to fraction form
    50,892/112,116 = 112,116/x
  3. Step 3: Cross multiply
    50,892x = 112,116 × 112,116
  4. Step 4: Simplify right side
    50,892x = 12,569,997,456
  5. Step 5: Solve for x
    x = 12,569,997,456/50,892
  6. Step 6: Final answer
    x = 246,993.58

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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.