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Finding the Third Proportional to 76,974 and 167,880

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Solution

The third proportional to 76,974 and 167,880 is: 366,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,974 : 167,880 = 167,880 : x
  2. Step 2: Convert to fraction form
    76,974/167,880 = 167,880/x
  3. Step 3: Cross multiply
    76,974x = 167,880 × 167,880
  4. Step 4: Simplify right side
    76,974x = 28,183,694,400
  5. Step 5: Solve for x
    x = 28,183,694,400/76,974
  6. Step 6: Final answer
    x = 366,145.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.