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Finding the Third Proportional to 122,694.75 and 179,997.19

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Solution

The third proportional to 122,694.75 and 179,997.19 is: 264,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,694.75 : 179,997.19 = 179,997.19 : x
  2. Step 2: Convert to fraction form
    122,694.75/179,997.19 = 179,997.19/x
  3. Step 3: Cross multiply
    122,694.75x = 179,997.19 × 179,997.19
  4. Step 4: Simplify right side
    122,694.75x = 32,398,987,507.91
  5. Step 5: Solve for x
    x = 32,398,987,507.91/122,694.75
  6. Step 6: Final answer
    x = 264,061.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.