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Finding the Third Proportional to 36,175 and 79,353

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Solution

The third proportional to 36,175 and 79,353 is: 174,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,175 : 79,353 = 79,353 : x
  2. Step 2: Convert to fraction form
    36,175/79,353 = 79,353/x
  3. Step 3: Cross multiply
    36,175x = 79,353 × 79,353
  4. Step 4: Simplify right side
    36,175x = 6,296,898,609
  5. Step 5: Solve for x
    x = 6,296,898,609/36,175
  6. Step 6: Final answer
    x = 174,067.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.