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Finding the Third Proportional to 104,825 and 166,067

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Solution

The third proportional to 104,825 and 166,067 is: 263,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,825 : 166,067 = 166,067 : x
  2. Step 2: Convert to fraction form
    104,825/166,067 = 166,067/x
  3. Step 3: Cross multiply
    104,825x = 166,067 × 166,067
  4. Step 4: Simplify right side
    104,825x = 27,578,248,489
  5. Step 5: Solve for x
    x = 27,578,248,489/104,825
  6. Step 6: Final answer
    x = 263,088.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.