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Finding the Third Proportional to 79,648 and 108,234

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Solution

The third proportional to 79,648 and 108,234 is: 147,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,648 : 108,234 = 108,234 : x
  2. Step 2: Convert to fraction form
    79,648/108,234 = 108,234/x
  3. Step 3: Cross multiply
    79,648x = 108,234 × 108,234
  4. Step 4: Simplify right side
    79,648x = 11,714,598,756
  5. Step 5: Solve for x
    x = 11,714,598,756/79,648
  6. Step 6: Final answer
    x = 147,079.63

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.