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Finding the Third Proportional to 110,204.72 and 164,879.93

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Solution

The third proportional to 110,204.72 and 164,879.93 is: 246,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,204.72 : 164,879.93 = 164,879.93 : x
  2. Step 2: Convert to fraction form
    110,204.72/164,879.93 = 164,879.93/x
  3. Step 3: Cross multiply
    110,204.72x = 164,879.93 × 164,879.93
  4. Step 4: Simplify right side
    110,204.72x = 27,185,391,213.75
  5. Step 5: Solve for x
    x = 27,185,391,213.75/110,204.72
  6. Step 6: Final answer
    x = 246,680.83

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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.