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Finding the Third Proportional to 86,701 and 188,165

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Solution

The third proportional to 86,701 and 188,165 is: 408,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,701 : 188,165 = 188,165 : x
  2. Step 2: Convert to fraction form
    86,701/188,165 = 188,165/x
  3. Step 3: Cross multiply
    86,701x = 188,165 × 188,165
  4. Step 4: Simplify right side
    86,701x = 35,406,067,225
  5. Step 5: Solve for x
    x = 35,406,067,225/86,701
  6. Step 6: Final answer
    x = 408,369.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.