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Finding the Third Proportional to 36,566 and 86,231

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Solution

The third proportional to 36,566 and 86,231 is: 203,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,566 : 86,231 = 86,231 : x
  2. Step 2: Convert to fraction form
    36,566/86,231 = 86,231/x
  3. Step 3: Cross multiply
    36,566x = 86,231 × 86,231
  4. Step 4: Simplify right side
    36,566x = 7,435,785,361
  5. Step 5: Solve for x
    x = 7,435,785,361/36,566
  6. Step 6: Final answer
    x = 203,352.44

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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.