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Finding the Third Proportional to 81,328 and 125,162

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Solution

The third proportional to 81,328 and 125,162 is: 192,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,328 : 125,162 = 125,162 : x
  2. Step 2: Convert to fraction form
    81,328/125,162 = 125,162/x
  3. Step 3: Cross multiply
    81,328x = 125,162 × 125,162
  4. Step 4: Simplify right side
    81,328x = 15,665,526,244
  5. Step 5: Solve for x
    x = 15,665,526,244/81,328
  6. Step 6: Final answer
    x = 192,621.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.