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Finding the Third Proportional to 111,794 and 169,134

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Solution

The third proportional to 111,794 and 169,134 is: 255,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,794 : 169,134 = 169,134 : x
  2. Step 2: Convert to fraction form
    111,794/169,134 = 169,134/x
  3. Step 3: Cross multiply
    111,794x = 169,134 × 169,134
  4. Step 4: Simplify right side
    111,794x = 28,606,309,956
  5. Step 5: Solve for x
    x = 28,606,309,956/111,794
  6. Step 6: Final answer
    x = 255,884.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.