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Finding the Third Proportional to 54,826.88 and 113,961.94

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Solution

The third proportional to 54,826.88 and 113,961.94 is: 236,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,826.88 : 113,961.94 = 113,961.94 : x
  2. Step 2: Convert to fraction form
    54,826.88/113,961.94 = 113,961.94/x
  3. Step 3: Cross multiply
    54,826.88x = 113,961.94 × 113,961.94
  4. Step 4: Simplify right side
    54,826.88x = 12,987,323,198.75
  5. Step 5: Solve for x
    x = 12,987,323,198.75/54,826.88
  6. Step 6: Final answer
    x = 236,878.78

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.