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Finding the Third Proportional to 36,702 and 84,519

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Solution

The third proportional to 36,702 and 84,519 is: 194,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,702 : 84,519 = 84,519 : x
  2. Step 2: Convert to fraction form
    36,702/84,519 = 84,519/x
  3. Step 3: Cross multiply
    36,702x = 84,519 × 84,519
  4. Step 4: Simplify right side
    36,702x = 7,143,461,361
  5. Step 5: Solve for x
    x = 7,143,461,361/36,702
  6. Step 6: Final answer
    x = 194,634.12

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.