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Finding the Third Proportional to 122,814 and 180,192

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Solution

The third proportional to 122,814 and 180,192 is: 264,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,814 : 180,192 = 180,192 : x
  2. Step 2: Convert to fraction form
    122,814/180,192 = 180,192/x
  3. Step 3: Cross multiply
    122,814x = 180,192 × 180,192
  4. Step 4: Simplify right side
    122,814x = 32,469,156,864
  5. Step 5: Solve for x
    x = 32,469,156,864/122,814
  6. Step 6: Final answer
    x = 264,376.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.