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Finding the Third Proportional to 50,981 and 110,162

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Solution

The third proportional to 50,981 and 110,162 is: 238,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,981 : 110,162 = 110,162 : x
  2. Step 2: Convert to fraction form
    50,981/110,162 = 110,162/x
  3. Step 3: Cross multiply
    50,981x = 110,162 × 110,162
  4. Step 4: Simplify right side
    50,981x = 12,135,666,244
  5. Step 5: Solve for x
    x = 12,135,666,244/50,981
  6. Step 6: Final answer
    x = 238,042.92

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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.