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Finding the Third Proportional to 67,751 and 95,322

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Solution

The third proportional to 67,751 and 95,322 is: 134,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,751 : 95,322 = 95,322 : x
  2. Step 2: Convert to fraction form
    67,751/95,322 = 95,322/x
  3. Step 3: Cross multiply
    67,751x = 95,322 × 95,322
  4. Step 4: Simplify right side
    67,751x = 9,086,283,684
  5. Step 5: Solve for x
    x = 9,086,283,684/67,751
  6. Step 6: Final answer
    x = 134,112.91

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.