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Finding the Third Proportional to 72,864 and 171,936

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Solution

The third proportional to 72,864 and 171,936 is: 405,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,864 : 171,936 = 171,936 : x
  2. Step 2: Convert to fraction form
    72,864/171,936 = 171,936/x
  3. Step 3: Cross multiply
    72,864x = 171,936 × 171,936
  4. Step 4: Simplify right side
    72,864x = 29,561,988,096
  5. Step 5: Solve for x
    x = 29,561,988,096/72,864
  6. Step 6: Final answer
    x = 405,714.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.