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Finding the Third Proportional to 114,108.75 and 171,183.38

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Solution

The third proportional to 114,108.75 and 171,183.38 is: 256,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,108.75 : 171,183.38 = 171,183.38 : x
  2. Step 2: Convert to fraction form
    114,108.75/171,183.38 = 171,183.38/x
  3. Step 3: Cross multiply
    114,108.75x = 171,183.38 × 171,183.38
  4. Step 4: Simplify right side
    114,108.75x = 29,303,747,876.39
  5. Step 5: Solve for x
    x = 29,303,747,876.39/114,108.75
  6. Step 6: Final answer
    x = 256,805.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.