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Finding the Third Proportional to 35,067 and 75,966

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Solution

The third proportional to 35,067 and 75,966 is: 164,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,067 : 75,966 = 75,966 : x
  2. Step 2: Convert to fraction form
    35,067/75,966 = 75,966/x
  3. Step 3: Cross multiply
    35,067x = 75,966 × 75,966
  4. Step 4: Simplify right side
    35,067x = 5,770,833,156
  5. Step 5: Solve for x
    x = 5,770,833,156/35,067
  6. Step 6: Final answer
    x = 164,565.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.