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Finding the Third Proportional to 50,674 and 111,086

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Solution

The third proportional to 50,674 and 111,086 is: 243,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,674 : 111,086 = 111,086 : x
  2. Step 2: Convert to fraction form
    50,674/111,086 = 111,086/x
  3. Step 3: Cross multiply
    50,674x = 111,086 × 111,086
  4. Step 4: Simplify right side
    50,674x = 12,340,099,396
  5. Step 5: Solve for x
    x = 12,340,099,396/50,674
  6. Step 6: Final answer
    x = 243,519.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.