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Finding the Third Proportional to 126,481.50 and 192,866.06

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Solution

The third proportional to 126,481.50 and 192,866.06 is: 294,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,481.50 : 192,866.06 = 192,866.06 : x
  2. Step 2: Convert to fraction form
    126,481.50/192,866.06 = 192,866.06/x
  3. Step 3: Cross multiply
    126,481.50x = 192,866.06 × 192,866.06
  4. Step 4: Simplify right side
    126,481.50x = 37,197,318,064.25
  5. Step 5: Solve for x
    x = 37,197,318,064.25/126,481.50
  6. Step 6: Final answer
    x = 294,092.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.