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Finding the Third Proportional to 79,923 and 120,090

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Solution

The third proportional to 79,923 and 120,090 is: 180,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,923 : 120,090 = 120,090 : x
  2. Step 2: Convert to fraction form
    79,923/120,090 = 120,090/x
  3. Step 3: Cross multiply
    79,923x = 120,090 × 120,090
  4. Step 4: Simplify right side
    79,923x = 14,421,608,100
  5. Step 5: Solve for x
    x = 14,421,608,100/79,923
  6. Step 6: Final answer
    x = 180,443.78

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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.