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Finding the Third Proportional to 50,482 and 111,116

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Solution

The third proportional to 50,482 and 111,116 is: 244,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,482 : 111,116 = 111,116 : x
  2. Step 2: Convert to fraction form
    50,482/111,116 = 111,116/x
  3. Step 3: Cross multiply
    50,482x = 111,116 × 111,116
  4. Step 4: Simplify right side
    50,482x = 12,346,765,456
  5. Step 5: Solve for x
    x = 12,346,765,456/50,482
  6. Step 6: Final answer
    x = 244,577.58

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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.