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Finding the Third Proportional to 71,167 and 154,021

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Solution

The third proportional to 71,167 and 154,021 is: 333,335.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,167 : 154,021 = 154,021 : x
  2. Step 2: Convert to fraction form
    71,167/154,021 = 154,021/x
  3. Step 3: Cross multiply
    71,167x = 154,021 × 154,021
  4. Step 4: Simplify right side
    71,167x = 23,722,468,441
  5. Step 5: Solve for x
    x = 23,722,468,441/71,167
  6. Step 6: Final answer
    x = 333,335.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.