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Finding the Third Proportional to 54,469.50 and 117,280.50

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Solution

The third proportional to 54,469.50 and 117,280.50 is: 252,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,469.50 : 117,280.50 = 117,280.50 : x
  2. Step 2: Convert to fraction form
    54,469.50/117,280.50 = 117,280.50/x
  3. Step 3: Cross multiply
    54,469.50x = 117,280.50 × 117,280.50
  4. Step 4: Simplify right side
    54,469.50x = 13,754,715,680.25
  5. Step 5: Solve for x
    x = 13,754,715,680.25/54,469.50
  6. Step 6: Final answer
    x = 252,521.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.