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Finding the Third Proportional to 82,717 and 100,861

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Solution

The third proportional to 82,717 and 100,861 is: 122,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,717 : 100,861 = 100,861 : x
  2. Step 2: Convert to fraction form
    82,717/100,861 = 100,861/x
  3. Step 3: Cross multiply
    82,717x = 100,861 × 100,861
  4. Step 4: Simplify right side
    82,717x = 10,172,941,321
  5. Step 5: Solve for x
    x = 10,172,941,321/82,717
  6. Step 6: Final answer
    x = 122,984.89

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.