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Finding the Third Proportional to 54,295.31 and 126,861.19

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Solution

The third proportional to 54,295.31 and 126,861.19 is: 296,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,295.31 : 126,861.19 = 126,861.19 : x
  2. Step 2: Convert to fraction form
    54,295.31/126,861.19 = 126,861.19/x
  3. Step 3: Cross multiply
    54,295.31x = 126,861.19 × 126,861.19
  4. Step 4: Simplify right side
    54,295.31x = 16,093,760,893.91
  5. Step 5: Solve for x
    x = 16,093,760,893.91/54,295.31
  6. Step 6: Final answer
    x = 296,411.61

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.