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Finding the Third Proportional to 32,175 and 67,266

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Solution

The third proportional to 32,175 and 67,266 is: 140,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175 : 67,266 = 67,266 : x
  2. Step 2: Convert to fraction form
    32,175/67,266 = 67,266/x
  3. Step 3: Cross multiply
    32,175x = 67,266 × 67,266
  4. Step 4: Simplify right side
    32,175x = 4,524,714,756
  5. Step 5: Solve for x
    x = 4,524,714,756/32,175
  6. Step 6: Final answer
    x = 140,628.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.