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Finding the Third Proportional to 122,668 and 182,704

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Solution

The third proportional to 122,668 and 182,704 is: 272,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,668 : 182,704 = 182,704 : x
  2. Step 2: Convert to fraction form
    122,668/182,704 = 182,704/x
  3. Step 3: Cross multiply
    122,668x = 182,704 × 182,704
  4. Step 4: Simplify right side
    122,668x = 33,380,751,616
  5. Step 5: Solve for x
    x = 33,380,751,616/122,668
  6. Step 6: Final answer
    x = 272,122.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.