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Finding the Third Proportional to 49,632 and 109,092

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Solution

The third proportional to 49,632 and 109,092 is: 239,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,632 : 109,092 = 109,092 : x
  2. Step 2: Convert to fraction form
    49,632/109,092 = 109,092/x
  3. Step 3: Cross multiply
    49,632x = 109,092 × 109,092
  4. Step 4: Simplify right side
    49,632x = 11,901,064,464
  5. Step 5: Solve for x
    x = 11,901,064,464/49,632
  6. Step 6: Final answer
    x = 239,786.12

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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.