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Finding the Third Proportional to 122,704 and 185,904

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Solution

The third proportional to 122,704 and 185,904 is: 281,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,704 : 185,904 = 185,904 : x
  2. Step 2: Convert to fraction form
    122,704/185,904 = 185,904/x
  3. Step 3: Cross multiply
    122,704x = 185,904 × 185,904
  4. Step 4: Simplify right side
    122,704x = 34,560,297,216
  5. Step 5: Solve for x
    x = 34,560,297,216/122,704
  6. Step 6: Final answer
    x = 281,655.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.