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Finding the Third Proportional to 54,252.75 and 82,942.50

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Solution

The third proportional to 54,252.75 and 82,942.50 is: 126,803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,252.75 : 82,942.50 = 82,942.50 : x
  2. Step 2: Convert to fraction form
    54,252.75/82,942.50 = 82,942.50/x
  3. Step 3: Cross multiply
    54,252.75x = 82,942.50 × 82,942.50
  4. Step 4: Simplify right side
    54,252.75x = 6,879,458,306.25
  5. Step 5: Solve for x
    x = 6,879,458,306.25/54,252.75
  6. Step 6: Final answer
    x = 126,803.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.