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Finding the Third Proportional to 71,122 and 167,257

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Solution

The third proportional to 71,122 and 167,257 is: 393,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,122 : 167,257 = 167,257 : x
  2. Step 2: Convert to fraction form
    71,122/167,257 = 167,257/x
  3. Step 3: Cross multiply
    71,122x = 167,257 × 167,257
  4. Step 4: Simplify right side
    71,122x = 27,974,904,049
  5. Step 5: Solve for x
    x = 27,974,904,049/71,122
  6. Step 6: Final answer
    x = 393,336.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.