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Finding the Third Proportional to 76,226 and 169,936

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Solution

The third proportional to 76,226 and 169,936 is: 378,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,226 : 169,936 = 169,936 : x
  2. Step 2: Convert to fraction form
    76,226/169,936 = 169,936/x
  3. Step 3: Cross multiply
    76,226x = 169,936 × 169,936
  4. Step 4: Simplify right side
    76,226x = 28,878,244,096
  5. Step 5: Solve for x
    x = 28,878,244,096/76,226
  6. Step 6: Final answer
    x = 378,850.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.