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Finding the Third Proportional to 38,171 and 77,420

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Solution

The third proportional to 38,171 and 77,420 is: 157,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,171 : 77,420 = 77,420 : x
  2. Step 2: Convert to fraction form
    38,171/77,420 = 77,420/x
  3. Step 3: Cross multiply
    38,171x = 77,420 × 77,420
  4. Step 4: Simplify right side
    38,171x = 5,993,856,400
  5. Step 5: Solve for x
    x = 5,993,856,400/38,171
  6. Step 6: Final answer
    x = 157,026.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.