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Finding the Third Proportional to 119,972 and 179,296

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Solution

The third proportional to 119,972 and 179,296 is: 267,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,972 : 179,296 = 179,296 : x
  2. Step 2: Convert to fraction form
    119,972/179,296 = 179,296/x
  3. Step 3: Cross multiply
    119,972x = 179,296 × 179,296
  4. Step 4: Simplify right side
    119,972x = 32,147,055,616
  5. Step 5: Solve for x
    x = 32,147,055,616/119,972
  6. Step 6: Final answer
    x = 267,954.65

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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.