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Finding the Third Proportional to 36,206 and 77,191

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Solution

The third proportional to 36,206 and 77,191 is: 164,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,206 : 77,191 = 77,191 : x
  2. Step 2: Convert to fraction form
    36,206/77,191 = 77,191/x
  3. Step 3: Cross multiply
    36,206x = 77,191 × 77,191
  4. Step 4: Simplify right side
    36,206x = 5,958,450,481
  5. Step 5: Solve for x
    x = 5,958,450,481/36,206
  6. Step 6: Final answer
    x = 164,570.80

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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.