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Finding the Third Proportional to 50,812 and 111,679

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Solution

The third proportional to 50,812 and 111,679 is: 245,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,812 : 111,679 = 111,679 : x
  2. Step 2: Convert to fraction form
    50,812/111,679 = 111,679/x
  3. Step 3: Cross multiply
    50,812x = 111,679 × 111,679
  4. Step 4: Simplify right side
    50,812x = 12,472,199,041
  5. Step 5: Solve for x
    x = 12,472,199,041/50,812
  6. Step 6: Final answer
    x = 245,457.75

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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.