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Finding the Third Proportional to 73,174.50 and 109,449

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Solution

The third proportional to 73,174.50 and 109,449 is: 163,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,174.50 : 109,449 = 109,449 : x
  2. Step 2: Convert to fraction form
    73,174.50/109,449 = 109,449/x
  3. Step 3: Cross multiply
    73,174.50x = 109,449 × 109,449
  4. Step 4: Simplify right side
    73,174.50x = 11,979,083,601
  5. Step 5: Solve for x
    x = 11,979,083,601/73,174.50
  6. Step 6: Final answer
    x = 163,705.71

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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.