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Finding the Third Proportional to 79,296 and 108,736

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Solution

The third proportional to 79,296 and 108,736 is: 149,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,296 : 108,736 = 108,736 : x
  2. Step 2: Convert to fraction form
    79,296/108,736 = 108,736/x
  3. Step 3: Cross multiply
    79,296x = 108,736 × 108,736
  4. Step 4: Simplify right side
    79,296x = 11,823,517,696
  5. Step 5: Solve for x
    x = 11,823,517,696/79,296
  6. Step 6: Final answer
    x = 149,106.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.