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Finding the Third Proportional to 79,979.50 and 120,174

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Solution

The third proportional to 79,979.50 and 120,174 is: 180,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,979.50 : 120,174 = 120,174 : x
  2. Step 2: Convert to fraction form
    79,979.50/120,174 = 120,174/x
  3. Step 3: Cross multiply
    79,979.50x = 120,174 × 120,174
  4. Step 4: Simplify right side
    79,979.50x = 14,441,790,276
  5. Step 5: Solve for x
    x = 14,441,790,276/79,979.50
  6. Step 6: Final answer
    x = 180,568.65

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Why These Related Problems?

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