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Finding the Third Proportional to 106,067 and 228,739

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Solution

The third proportional to 106,067 and 228,739 is: 493,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,067 : 228,739 = 228,739 : x
  2. Step 2: Convert to fraction form
    106,067/228,739 = 228,739/x
  3. Step 3: Cross multiply
    106,067x = 228,739 × 228,739
  4. Step 4: Simplify right side
    106,067x = 52,321,530,121
  5. Step 5: Solve for x
    x = 52,321,530,121/106,067
  6. Step 6: Final answer
    x = 493,287.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.