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Finding the Third Proportional to 79,848 and 120,000

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Solution

The third proportional to 79,848 and 120,000 is: 180,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,848 : 120,000 = 120,000 : x
  2. Step 2: Convert to fraction form
    79,848/120,000 = 120,000/x
  3. Step 3: Cross multiply
    79,848x = 120,000 × 120,000
  4. Step 4: Simplify right side
    79,848x = 14,400,000,000
  5. Step 5: Solve for x
    x = 14,400,000,000/79,848
  6. Step 6: Final answer
    x = 180,342.65

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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.