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Finding the Third Proportional to 76,144 and 167,096

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Solution

The third proportional to 76,144 and 167,096 is: 366,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,144 : 167,096 = 167,096 : x
  2. Step 2: Convert to fraction form
    76,144/167,096 = 167,096/x
  3. Step 3: Cross multiply
    76,144x = 167,096 × 167,096
  4. Step 4: Simplify right side
    76,144x = 27,921,073,216
  5. Step 5: Solve for x
    x = 27,921,073,216/76,144
  6. Step 6: Final answer
    x = 366,687.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.