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Finding the Third Proportional to 50,395 and 104,935

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Solution

The third proportional to 50,395 and 104,935 is: 218,500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,395 : 104,935 = 104,935 : x
  2. Step 2: Convert to fraction form
    50,395/104,935 = 104,935/x
  3. Step 3: Cross multiply
    50,395x = 104,935 × 104,935
  4. Step 4: Simplify right side
    50,395x = 11,011,354,225
  5. Step 5: Solve for x
    x = 11,011,354,225/50,395
  6. Step 6: Final answer
    x = 218,500.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.