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Finding the Third Proportional to 71,682 and 167,414

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Solution

The third proportional to 71,682 and 167,414 is: 390,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,682 : 167,414 = 167,414 : x
  2. Step 2: Convert to fraction form
    71,682/167,414 = 167,414/x
  3. Step 3: Cross multiply
    71,682x = 167,414 × 167,414
  4. Step 4: Simplify right side
    71,682x = 28,027,447,396
  5. Step 5: Solve for x
    x = 28,027,447,396/71,682
  6. Step 6: Final answer
    x = 390,997.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.