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Finding the Third Proportional to 69,416 and 151,936

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Solution

The third proportional to 69,416 and 151,936 is: 332,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,416 : 151,936 = 151,936 : x
  2. Step 2: Convert to fraction form
    69,416/151,936 = 151,936/x
  3. Step 3: Cross multiply
    69,416x = 151,936 × 151,936
  4. Step 4: Simplify right side
    69,416x = 23,084,548,096
  5. Step 5: Solve for x
    x = 23,084,548,096/69,416
  6. Step 6: Final answer
    x = 332,553.71

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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.