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Finding the Third Proportional to 71,086 and 164,566

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Solution

The third proportional to 71,086 and 164,566 is: 380,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,086 : 164,566 = 164,566 : x
  2. Step 2: Convert to fraction form
    71,086/164,566 = 164,566/x
  3. Step 3: Cross multiply
    71,086x = 164,566 × 164,566
  4. Step 4: Simplify right side
    71,086x = 27,081,968,356
  5. Step 5: Solve for x
    x = 27,081,968,356/71,086
  6. Step 6: Final answer
    x = 380,974.71

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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.