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Finding the Third Proportional to 122,868 and 195,372

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Solution

The third proportional to 122,868 and 195,372 is: 310,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,868 : 195,372 = 195,372 : x
  2. Step 2: Convert to fraction form
    122,868/195,372 = 195,372/x
  3. Step 3: Cross multiply
    122,868x = 195,372 × 195,372
  4. Step 4: Simplify right side
    122,868x = 38,170,218,384
  5. Step 5: Solve for x
    x = 38,170,218,384/122,868
  6. Step 6: Final answer
    x = 310,660.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.