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Finding the Third Proportional to 49,966 and 106,405

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Solution

The third proportional to 49,966 and 106,405 is: 226,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,966 : 106,405 = 106,405 : x
  2. Step 2: Convert to fraction form
    49,966/106,405 = 106,405/x
  3. Step 3: Cross multiply
    49,966x = 106,405 × 106,405
  4. Step 4: Simplify right side
    49,966x = 11,322,024,025
  5. Step 5: Solve for x
    x = 11,322,024,025/49,966
  6. Step 6: Final answer
    x = 226,594.56

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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.