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Finding the Third Proportional to 81,024 and 167,232

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Solution

The third proportional to 81,024 and 167,232 is: 345,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,024 : 167,232 = 167,232 : x
  2. Step 2: Convert to fraction form
    81,024/167,232 = 167,232/x
  3. Step 3: Cross multiply
    81,024x = 167,232 × 167,232
  4. Step 4: Simplify right side
    81,024x = 27,966,541,824
  5. Step 5: Solve for x
    x = 27,966,541,824/81,024
  6. Step 6: Final answer
    x = 345,163.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.