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Finding the Third Proportional to 36,568 and 86,236

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Solution

The third proportional to 36,568 and 86,236 is: 203,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,568 : 86,236 = 86,236 : x
  2. Step 2: Convert to fraction form
    36,568/86,236 = 86,236/x
  3. Step 3: Cross multiply
    36,568x = 86,236 × 86,236
  4. Step 4: Simplify right side
    36,568x = 7,436,647,696
  5. Step 5: Solve for x
    x = 7,436,647,696/36,568
  6. Step 6: Final answer
    x = 203,364.90

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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.