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Finding the Third Proportional to 82,751 and 178,625

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Solution

The third proportional to 82,751 and 178,625 is: 385,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,751 : 178,625 = 178,625 : x
  2. Step 2: Convert to fraction form
    82,751/178,625 = 178,625/x
  3. Step 3: Cross multiply
    82,751x = 178,625 × 178,625
  4. Step 4: Simplify right side
    82,751x = 31,906,890,625
  5. Step 5: Solve for x
    x = 31,906,890,625/82,751
  6. Step 6: Final answer
    x = 385,577.10

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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.