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Finding the Third Proportional to 122,018 and 179,067

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Solution

The third proportional to 122,018 and 179,067 is: 262,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,018 : 179,067 = 179,067 : x
  2. Step 2: Convert to fraction form
    122,018/179,067 = 179,067/x
  3. Step 3: Cross multiply
    122,018x = 179,067 × 179,067
  4. Step 4: Simplify right side
    122,018x = 32,064,990,489
  5. Step 5: Solve for x
    x = 32,064,990,489/122,018
  6. Step 6: Final answer
    x = 262,789.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.