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Finding the Third Proportional to 50,067 and 109,521

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Solution

The third proportional to 50,067 and 109,521 is: 239,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,067 : 109,521 = 109,521 : x
  2. Step 2: Convert to fraction form
    50,067/109,521 = 109,521/x
  3. Step 3: Cross multiply
    50,067x = 109,521 × 109,521
  4. Step 4: Simplify right side
    50,067x = 11,994,849,441
  5. Step 5: Solve for x
    x = 11,994,849,441/50,067
  6. Step 6: Final answer
    x = 239,575.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.