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Finding the Third Proportional to 86,035 and 188,592

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Solution

The third proportional to 86,035 and 188,592 is: 413,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,035 : 188,592 = 188,592 : x
  2. Step 2: Convert to fraction form
    86,035/188,592 = 188,592/x
  3. Step 3: Cross multiply
    86,035x = 188,592 × 188,592
  4. Step 4: Simplify right side
    86,035x = 35,566,942,464
  5. Step 5: Solve for x
    x = 35,566,942,464/86,035
  6. Step 6: Final answer
    x = 413,400.85

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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.