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Finding the Third Proportional to 74,765 and 111,067

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Solution

The third proportional to 74,765 and 111,067 is: 164,995.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,765 : 111,067 = 111,067 : x
  2. Step 2: Convert to fraction form
    74,765/111,067 = 111,067/x
  3. Step 3: Cross multiply
    74,765x = 111,067 × 111,067
  4. Step 4: Simplify right side
    74,765x = 12,335,878,489
  5. Step 5: Solve for x
    x = 12,335,878,489/74,765
  6. Step 6: Final answer
    x = 164,995.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.