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Finding the Third Proportional to 54,363.56 and 112,456.31

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Solution

The third proportional to 54,363.56 and 112,456.31 is: 232,626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,363.56 : 112,456.31 = 112,456.31 : x
  2. Step 2: Convert to fraction form
    54,363.56/112,456.31 = 112,456.31/x
  3. Step 3: Cross multiply
    54,363.56x = 112,456.31 × 112,456.31
  4. Step 4: Simplify right side
    54,363.56x = 12,646,422,221.10
  5. Step 5: Solve for x
    x = 12,646,422,221.10/54,363.56
  6. Step 6: Final answer
    x = 232,626.81

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.