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Finding the Third Proportional to 50,861 and 110,766

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Solution

The third proportional to 50,861 and 110,766 is: 241,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,861 : 110,766 = 110,766 : x
  2. Step 2: Convert to fraction form
    50,861/110,766 = 110,766/x
  3. Step 3: Cross multiply
    50,861x = 110,766 × 110,766
  4. Step 4: Simplify right side
    50,861x = 12,269,106,756
  5. Step 5: Solve for x
    x = 12,269,106,756/50,861
  6. Step 6: Final answer
    x = 241,228.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.