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Finding the Third Proportional to 50,141 and 106,837

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Solution

The third proportional to 50,141 and 106,837 is: 227,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,141 : 106,837 = 106,837 : x
  2. Step 2: Convert to fraction form
    50,141/106,837 = 106,837/x
  3. Step 3: Cross multiply
    50,141x = 106,837 × 106,837
  4. Step 4: Simplify right side
    50,141x = 11,414,144,569
  5. Step 5: Solve for x
    x = 11,414,144,569/50,141
  6. Step 6: Final answer
    x = 227,640.94

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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.