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Finding the Third Proportional to 54,684.50 and 78,198.75

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Solution

The third proportional to 54,684.50 and 78,198.75 is: 111,824.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684.50 : 78,198.75 = 78,198.75 : x
  2. Step 2: Convert to fraction form
    54,684.50/78,198.75 = 78,198.75/x
  3. Step 3: Cross multiply
    54,684.50x = 78,198.75 × 78,198.75
  4. Step 4: Simplify right side
    54,684.50x = 6,115,044,501.56
  5. Step 5: Solve for x
    x = 6,115,044,501.56/54,684.50
  6. Step 6: Final answer
    x = 111,824.09

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.