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Finding the Third Proportional to 131,976 and 179,306

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Solution

The third proportional to 131,976 and 179,306 is: 243,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,976 : 179,306 = 179,306 : x
  2. Step 2: Convert to fraction form
    131,976/179,306 = 179,306/x
  3. Step 3: Cross multiply
    131,976x = 179,306 × 179,306
  4. Step 4: Simplify right side
    131,976x = 32,150,641,636
  5. Step 5: Solve for x
    x = 32,150,641,636/131,976
  6. Step 6: Final answer
    x = 243,609.76

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.