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Finding the Third Proportional to 31,938 and 67,183

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Solution

The third proportional to 31,938 and 67,183 is: 141,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,938 : 67,183 = 67,183 : x
  2. Step 2: Convert to fraction form
    31,938/67,183 = 67,183/x
  3. Step 3: Cross multiply
    31,938x = 67,183 × 67,183
  4. Step 4: Simplify right side
    31,938x = 4,513,555,489
  5. Step 5: Solve for x
    x = 4,513,555,489/31,938
  6. Step 6: Final answer
    x = 141,322.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.