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Finding the Third Proportional to 86,794 and 131,122

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Solution

The third proportional to 86,794 and 131,122 is: 198,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,794 : 131,122 = 131,122 : x
  2. Step 2: Convert to fraction form
    86,794/131,122 = 131,122/x
  3. Step 3: Cross multiply
    86,794x = 131,122 × 131,122
  4. Step 4: Simplify right side
    86,794x = 17,192,978,884
  5. Step 5: Solve for x
    x = 17,192,978,884/86,794
  6. Step 6: Final answer
    x = 198,089.49

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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.