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Finding the Third Proportional to 50,291 and 104,715

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Solution

The third proportional to 50,291 and 104,715 is: 218,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,291 : 104,715 = 104,715 : x
  2. Step 2: Convert to fraction form
    50,291/104,715 = 104,715/x
  3. Step 3: Cross multiply
    50,291x = 104,715 × 104,715
  4. Step 4: Simplify right side
    50,291x = 10,965,231,225
  5. Step 5: Solve for x
    x = 10,965,231,225/50,291
  6. Step 6: Final answer
    x = 218,035.66

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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.