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Finding the Third Proportional to 54,596.25 and 115,755.75

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Solution

The third proportional to 54,596.25 and 115,755.75 is: 245,427.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,596.25 : 115,755.75 = 115,755.75 : x
  2. Step 2: Convert to fraction form
    54,596.25/115,755.75 = 115,755.75/x
  3. Step 3: Cross multiply
    54,596.25x = 115,755.75 × 115,755.75
  4. Step 4: Simplify right side
    54,596.25x = 13,399,393,658.06
  5. Step 5: Solve for x
    x = 13,399,393,658.06/54,596.25
  6. Step 6: Final answer
    x = 245,427.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.