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Finding the Third Proportional to 51,100 and 111,704

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Solution

The third proportional to 51,100 and 111,704 is: 244,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,100 : 111,704 = 111,704 : x
  2. Step 2: Convert to fraction form
    51,100/111,704 = 111,704/x
  3. Step 3: Cross multiply
    51,100x = 111,704 × 111,704
  4. Step 4: Simplify right side
    51,100x = 12,477,783,616
  5. Step 5: Solve for x
    x = 12,477,783,616/51,100
  6. Step 6: Final answer
    x = 244,183.63

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Why These Related Problems?

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