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Finding the Third Proportional to 122,863.50 and 192,771

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Solution

The third proportional to 122,863.50 and 192,771 is: 302,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,863.50 : 192,771 = 192,771 : x
  2. Step 2: Convert to fraction form
    122,863.50/192,771 = 192,771/x
  3. Step 3: Cross multiply
    122,863.50x = 192,771 × 192,771
  4. Step 4: Simplify right side
    122,863.50x = 37,160,658,441
  5. Step 5: Solve for x
    x = 37,160,658,441/122,863.50
  6. Step 6: Final answer
    x = 302,454.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.