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Finding the Third Proportional to 36,198 and 77,175

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Solution

The third proportional to 36,198 and 77,175 is: 164,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,198 : 77,175 = 77,175 : x
  2. Step 2: Convert to fraction form
    36,198/77,175 = 77,175/x
  3. Step 3: Cross multiply
    36,198x = 77,175 × 77,175
  4. Step 4: Simplify right side
    36,198x = 5,955,980,625
  5. Step 5: Solve for x
    x = 5,955,980,625/36,198
  6. Step 6: Final answer
    x = 164,538.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.