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Finding the Third Proportional to 79,378 and 108,096

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Solution

The third proportional to 79,378 and 108,096 is: 147,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,378 : 108,096 = 108,096 : x
  2. Step 2: Convert to fraction form
    79,378/108,096 = 108,096/x
  3. Step 3: Cross multiply
    79,378x = 108,096 × 108,096
  4. Step 4: Simplify right side
    79,378x = 11,684,745,216
  5. Step 5: Solve for x
    x = 11,684,745,216/79,378
  6. Step 6: Final answer
    x = 147,203.82

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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.