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Finding the Third Proportional to 36,027 and 79,206

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Solution

The third proportional to 36,027 and 79,206 is: 174,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,027 : 79,206 = 79,206 : x
  2. Step 2: Convert to fraction form
    36,027/79,206 = 79,206/x
  3. Step 3: Cross multiply
    36,027x = 79,206 × 79,206
  4. Step 4: Simplify right side
    36,027x = 6,273,590,436
  5. Step 5: Solve for x
    x = 6,273,590,436/36,027
  6. Step 6: Final answer
    x = 174,135.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.