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Finding the Third Proportional to 31,734 and 75,183

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Solution

The third proportional to 31,734 and 75,183 is: 178,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,734 : 75,183 = 75,183 : x
  2. Step 2: Convert to fraction form
    31,734/75,183 = 75,183/x
  3. Step 3: Cross multiply
    31,734x = 75,183 × 75,183
  4. Step 4: Simplify right side
    31,734x = 5,652,483,489
  5. Step 5: Solve for x
    x = 5,652,483,489/31,734
  6. Step 6: Final answer
    x = 178,120.74

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.