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Finding the Third Proportional to 82,625 and 178,371

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Solution

The third proportional to 82,625 and 178,371 is: 385,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,625 : 178,371 = 178,371 : x
  2. Step 2: Convert to fraction form
    82,625/178,371 = 178,371/x
  3. Step 3: Cross multiply
    82,625x = 178,371 × 178,371
  4. Step 4: Simplify right side
    82,625x = 31,816,213,641
  5. Step 5: Solve for x
    x = 31,816,213,641/82,625
  6. Step 6: Final answer
    x = 385,067.64

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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.