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Finding the Third Proportional to 50,072 and 106,288

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Solution

The third proportional to 50,072 and 106,288 is: 225,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,072 : 106,288 = 106,288 : x
  2. Step 2: Convert to fraction form
    50,072/106,288 = 106,288/x
  3. Step 3: Cross multiply
    50,072x = 106,288 × 106,288
  4. Step 4: Simplify right side
    50,072x = 11,297,138,944
  5. Step 5: Solve for x
    x = 11,297,138,944/50,072
  6. Step 6: Final answer
    x = 225,617.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.