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Finding the Third Proportional to 75,161.25 and 116,295.75

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Solution

The third proportional to 75,161.25 and 116,295.75 is: 179,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,161.25 : 116,295.75 = 116,295.75 : x
  2. Step 2: Convert to fraction form
    75,161.25/116,295.75 = 116,295.75/x
  3. Step 3: Cross multiply
    75,161.25x = 116,295.75 × 116,295.75
  4. Step 4: Simplify right side
    75,161.25x = 13,524,701,468.06
  5. Step 5: Solve for x
    x = 13,524,701,468.06/75,161.25
  6. Step 6: Final answer
    x = 179,942.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.