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Finding the Third Proportional to 81,575 and 167,542

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Solution

The third proportional to 81,575 and 167,542 is: 344,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,575 : 167,542 = 167,542 : x
  2. Step 2: Convert to fraction form
    81,575/167,542 = 167,542/x
  3. Step 3: Cross multiply
    81,575x = 167,542 × 167,542
  4. Step 4: Simplify right side
    81,575x = 28,070,321,764
  5. Step 5: Solve for x
    x = 28,070,321,764/81,575
  6. Step 6: Final answer
    x = 344,104.47

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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.