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Finding the Third Proportional to 31,727.25 and 75,161.25

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Solution

The third proportional to 31,727.25 and 75,161.25 is: 178,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,727.25 : 75,161.25 = 75,161.25 : x
  2. Step 2: Convert to fraction form
    31,727.25/75,161.25 = 75,161.25/x
  3. Step 3: Cross multiply
    31,727.25x = 75,161.25 × 75,161.25
  4. Step 4: Simplify right side
    31,727.25x = 5,649,213,501.56
  5. Step 5: Solve for x
    x = 5,649,213,501.56/31,727.25
  6. Step 6: Final answer
    x = 178,055.57

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.