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Finding the Third Proportional to 71,084 and 164,561

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Solution

The third proportional to 71,084 and 164,561 is: 380,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,084 : 164,561 = 164,561 : x
  2. Step 2: Convert to fraction form
    71,084/164,561 = 164,561/x
  3. Step 3: Cross multiply
    71,084x = 164,561 × 164,561
  4. Step 4: Simplify right side
    71,084x = 27,080,322,721
  5. Step 5: Solve for x
    x = 27,080,322,721/71,084
  6. Step 6: Final answer
    x = 380,962.28

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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.