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Finding the Third Proportional to 36,698 and 86,561

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Solution

The third proportional to 36,698 and 86,561 is: 204,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,698 : 86,561 = 86,561 : x
  2. Step 2: Convert to fraction form
    36,698/86,561 = 86,561/x
  3. Step 3: Cross multiply
    36,698x = 86,561 × 86,561
  4. Step 4: Simplify right side
    36,698x = 7,492,806,721
  5. Step 5: Solve for x
    x = 7,492,806,721/36,698
  6. Step 6: Final answer
    x = 204,174.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.