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Finding the Third Proportional to 50,112 and 110,144

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Solution

The third proportional to 50,112 and 110,144 is: 242,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,112 : 110,144 = 110,144 : x
  2. Step 2: Convert to fraction form
    50,112/110,144 = 110,144/x
  3. Step 3: Cross multiply
    50,112x = 110,144 × 110,144
  4. Step 4: Simplify right side
    50,112x = 12,131,700,736
  5. Step 5: Solve for x
    x = 12,131,700,736/50,112
  6. Step 6: Final answer
    x = 242,091.73

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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.