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Finding the Third Proportional to 79,929 and 120,096

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Solution

The third proportional to 79,929 and 120,096 is: 180,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,929 : 120,096 = 120,096 : x
  2. Step 2: Convert to fraction form
    79,929/120,096 = 120,096/x
  3. Step 3: Cross multiply
    79,929x = 120,096 × 120,096
  4. Step 4: Simplify right side
    79,929x = 14,423,049,216
  5. Step 5: Solve for x
    x = 14,423,049,216/79,929
  6. Step 6: Final answer
    x = 180,448.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.