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Finding the Third Proportional to 32,183 and 67,307

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Solution

The third proportional to 32,183 and 67,307 is: 140,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,183 : 67,307 = 67,307 : x
  2. Step 2: Convert to fraction form
    32,183/67,307 = 67,307/x
  3. Step 3: Cross multiply
    32,183x = 67,307 × 67,307
  4. Step 4: Simplify right side
    32,183x = 4,530,232,249
  5. Step 5: Solve for x
    x = 4,530,232,249/32,183
  6. Step 6: Final answer
    x = 140,764.76

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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.