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Finding the Third Proportional to 40,942 and 86,232

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Solution

The third proportional to 40,942 and 86,232 is: 181,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,942 : 86,232 = 86,232 : x
  2. Step 2: Convert to fraction form
    40,942/86,232 = 86,232/x
  3. Step 3: Cross multiply
    40,942x = 86,232 × 86,232
  4. Step 4: Simplify right side
    40,942x = 7,435,957,824
  5. Step 5: Solve for x
    x = 7,435,957,824/40,942
  6. Step 6: Final answer
    x = 181,621.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.