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Finding the Third Proportional to 82,717 and 175,183

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Solution

The third proportional to 82,717 and 175,183 is: 371,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,717 : 175,183 = 175,183 : x
  2. Step 2: Convert to fraction form
    82,717/175,183 = 175,183/x
  3. Step 3: Cross multiply
    82,717x = 175,183 × 175,183
  4. Step 4: Simplify right side
    82,717x = 30,689,083,489
  5. Step 5: Solve for x
    x = 30,689,083,489/82,717
  6. Step 6: Final answer
    x = 371,013.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.