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Finding the Third Proportional to 135,162 and 194,697

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Solution

The third proportional to 135,162 and 194,697 is: 280,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,162 : 194,697 = 194,697 : x
  2. Step 2: Convert to fraction form
    135,162/194,697 = 194,697/x
  3. Step 3: Cross multiply
    135,162x = 194,697 × 194,697
  4. Step 4: Simplify right side
    135,162x = 37,906,921,809
  5. Step 5: Solve for x
    x = 37,906,921,809/135,162
  6. Step 6: Final answer
    x = 280,455.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.