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Finding the Third Proportional to 33,192 and 72,944

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Solution

The third proportional to 33,192 and 72,944 is: 160,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,192 : 72,944 = 72,944 : x
  2. Step 2: Convert to fraction form
    33,192/72,944 = 72,944/x
  3. Step 3: Cross multiply
    33,192x = 72,944 × 72,944
  4. Step 4: Simplify right side
    33,192x = 5,320,827,136
  5. Step 5: Solve for x
    x = 5,320,827,136/33,192
  6. Step 6: Final answer
    x = 160,304.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.