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Finding the Third Proportional to 50,249 and 123,901

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Solution

The third proportional to 50,249 and 123,901 is: 305,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,249 : 123,901 = 123,901 : x
  2. Step 2: Convert to fraction form
    50,249/123,901 = 123,901/x
  3. Step 3: Cross multiply
    50,249x = 123,901 × 123,901
  4. Step 4: Simplify right side
    50,249x = 15,351,457,801
  5. Step 5: Solve for x
    x = 15,351,457,801/50,249
  6. Step 6: Final answer
    x = 305,507.73

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.