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Finding the Third Proportional to 120,124 and 179,212

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Solution

The third proportional to 120,124 and 179,212 is: 267,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,124 : 179,212 = 179,212 : x
  2. Step 2: Convert to fraction form
    120,124/179,212 = 179,212/x
  3. Step 3: Cross multiply
    120,124x = 179,212 × 179,212
  4. Step 4: Simplify right side
    120,124x = 32,116,940,944
  5. Step 5: Solve for x
    x = 32,116,940,944/120,124
  6. Step 6: Final answer
    x = 267,364.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.