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Finding the Third Proportional to 51,067 and 118,669

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Solution

The third proportional to 51,067 and 118,669 is: 275,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,067 : 118,669 = 118,669 : x
  2. Step 2: Convert to fraction form
    51,067/118,669 = 118,669/x
  3. Step 3: Cross multiply
    51,067x = 118,669 × 118,669
  4. Step 4: Simplify right side
    51,067x = 14,082,331,561
  5. Step 5: Solve for x
    x = 14,082,331,561/51,067
  6. Step 6: Final answer
    x = 275,761.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.