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Finding the Third Proportional to 53,183.25 and 109,107

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Solution

The third proportional to 53,183.25 and 109,107 is: 223,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,183.25 : 109,107 = 109,107 : x
  2. Step 2: Convert to fraction form
    53,183.25/109,107 = 109,107/x
  3. Step 3: Cross multiply
    53,183.25x = 109,107 × 109,107
  4. Step 4: Simplify right side
    53,183.25x = 11,904,337,449
  5. Step 5: Solve for x
    x = 11,904,337,449/53,183.25
  6. Step 6: Final answer
    x = 223,836.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.