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Finding the Third Proportional to 122,863.50 and 195,360.75

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Solution

The third proportional to 122,863.50 and 195,360.75 is: 310,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,863.50 : 195,360.75 = 195,360.75 : x
  2. Step 2: Convert to fraction form
    122,863.50/195,360.75 = 195,360.75/x
  3. Step 3: Cross multiply
    122,863.50x = 195,360.75 × 195,360.75
  4. Step 4: Simplify right side
    122,863.50x = 38,165,822,640.56
  5. Step 5: Solve for x
    x = 38,165,822,640.56/122,863.50
  6. Step 6: Final answer
    x = 310,635.97

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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.