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Finding the Third Proportional to 81,576 and 167,544

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Solution

The third proportional to 81,576 and 167,544 is: 344,108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,576 : 167,544 = 167,544 : x
  2. Step 2: Convert to fraction form
    81,576/167,544 = 167,544/x
  3. Step 3: Cross multiply
    81,576x = 167,544 × 167,544
  4. Step 4: Simplify right side
    81,576x = 28,070,991,936
  5. Step 5: Solve for x
    x = 28,070,991,936/81,576
  6. Step 6: Final answer
    x = 344,108.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.