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Finding the Third Proportional to 36,106 and 79,186

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Solution

The third proportional to 36,106 and 79,186 is: 173,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,106 : 79,186 = 79,186 : x
  2. Step 2: Convert to fraction form
    36,106/79,186 = 79,186/x
  3. Step 3: Cross multiply
    36,106x = 79,186 × 79,186
  4. Step 4: Simplify right side
    36,106x = 6,270,422,596
  5. Step 5: Solve for x
    x = 6,270,422,596/36,106
  6. Step 6: Final answer
    x = 173,667.05

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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.