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Finding the Third Proportional to 50,308 and 104,750

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Solution

The third proportional to 50,308 and 104,750 is: 218,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,308 : 104,750 = 104,750 : x
  2. Step 2: Convert to fraction form
    50,308/104,750 = 104,750/x
  3. Step 3: Cross multiply
    50,308x = 104,750 × 104,750
  4. Step 4: Simplify right side
    50,308x = 10,972,562,500
  5. Step 5: Solve for x
    x = 10,972,562,500/50,308
  6. Step 6: Final answer
    x = 218,107.71

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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.