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Finding the Third Proportional to 82,067 and 176,692

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Solution

The third proportional to 82,067 and 176,692 is: 380,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,067 : 176,692 = 176,692 : x
  2. Step 2: Convert to fraction form
    82,067/176,692 = 176,692/x
  3. Step 3: Cross multiply
    82,067x = 176,692 × 176,692
  4. Step 4: Simplify right side
    82,067x = 31,220,062,864
  5. Step 5: Solve for x
    x = 31,220,062,864/82,067
  6. Step 6: Final answer
    x = 380,421.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.