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Finding the Third Proportional to 129,855 and 195,640.50

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Solution

The third proportional to 129,855 and 195,640.50 is: 294,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,855 : 195,640.50 = 195,640.50 : x
  2. Step 2: Convert to fraction form
    129,855/195,640.50 = 195,640.50/x
  3. Step 3: Cross multiply
    129,855x = 195,640.50 × 195,640.50
  4. Step 4: Simplify right side
    129,855x = 38,275,205,240.25
  5. Step 5: Solve for x
    x = 38,275,205,240.25/129,855
  6. Step 6: Final answer
    x = 294,753.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.