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Finding the Third Proportional to 54,917.50 and 113,114.50

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Solution

The third proportional to 54,917.50 and 113,114.50 is: 232,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,917.50 : 113,114.50 = 113,114.50 : x
  2. Step 2: Convert to fraction form
    54,917.50/113,114.50 = 113,114.50/x
  3. Step 3: Cross multiply
    54,917.50x = 113,114.50 × 113,114.50
  4. Step 4: Simplify right side
    54,917.50x = 12,794,890,110.25
  5. Step 5: Solve for x
    x = 12,794,890,110.25/54,917.50
  6. Step 6: Final answer
    x = 232,983.84

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.