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Finding the Third Proportional to 63,067.50 and 131,976

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Solution

The third proportional to 63,067.50 and 131,976 is: 276,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,067.50 : 131,976 = 131,976 : x
  2. Step 2: Convert to fraction form
    63,067.50/131,976 = 131,976/x
  3. Step 3: Cross multiply
    63,067.50x = 131,976 × 131,976
  4. Step 4: Simplify right side
    63,067.50x = 17,417,664,576
  5. Step 5: Solve for x
    x = 17,417,664,576/63,067.50
  6. Step 6: Final answer
    x = 276,174.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.