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Finding the Third Proportional to 71,067 and 164,541

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Solution

The third proportional to 71,067 and 164,541 is: 380,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,067 : 164,541 = 164,541 : x
  2. Step 2: Convert to fraction form
    71,067/164,541 = 164,541/x
  3. Step 3: Cross multiply
    71,067x = 164,541 × 164,541
  4. Step 4: Simplify right side
    71,067x = 27,073,740,681
  5. Step 5: Solve for x
    x = 27,073,740,681/71,067
  6. Step 6: Final answer
    x = 380,960.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.