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Finding the Third Proportional to 111,919.50 and 171,891

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Solution

The third proportional to 111,919.50 and 171,891 is: 263,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,919.50 : 171,891 = 171,891 : x
  2. Step 2: Convert to fraction form
    111,919.50/171,891 = 171,891/x
  3. Step 3: Cross multiply
    111,919.50x = 171,891 × 171,891
  4. Step 4: Simplify right side
    111,919.50x = 29,546,515,881
  5. Step 5: Solve for x
    x = 29,546,515,881/111,919.50
  6. Step 6: Final answer
    x = 263,997.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.