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Finding the Third Proportional to 86,942 and 183,225

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Solution

The third proportional to 86,942 and 183,225 is: 386,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,942 : 183,225 = 183,225 : x
  2. Step 2: Convert to fraction form
    86,942/183,225 = 183,225/x
  3. Step 3: Cross multiply
    86,942x = 183,225 × 183,225
  4. Step 4: Simplify right side
    86,942x = 33,571,400,625
  5. Step 5: Solve for x
    x = 33,571,400,625/86,942
  6. Step 6: Final answer
    x = 386,135.59

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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.