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Finding the Third Proportional to 50,015 and 106,519

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Solution

The third proportional to 50,015 and 106,519 is: 226,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,015 : 106,519 = 106,519 : x
  2. Step 2: Convert to fraction form
    50,015/106,519 = 106,519/x
  3. Step 3: Cross multiply
    50,015x = 106,519 × 106,519
  4. Step 4: Simplify right side
    50,015x = 11,346,297,361
  5. Step 5: Solve for x
    x = 11,346,297,361/50,015
  6. Step 6: Final answer
    x = 226,857.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.