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Finding the Third Proportional to 35,924 and 78,067

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Solution

The third proportional to 35,924 and 78,067 is: 169,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,924 : 78,067 = 78,067 : x
  2. Step 2: Convert to fraction form
    35,924/78,067 = 78,067/x
  3. Step 3: Cross multiply
    35,924x = 78,067 × 78,067
  4. Step 4: Simplify right side
    35,924x = 6,094,456,489
  5. Step 5: Solve for x
    x = 6,094,456,489/35,924
  6. Step 6: Final answer
    x = 169,648.61

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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.