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Finding the Third Proportional to 81,936 and 176,992

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Solution

The third proportional to 81,936 and 176,992 is: 382,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,936 : 176,992 = 176,992 : x
  2. Step 2: Convert to fraction form
    81,936/176,992 = 176,992/x
  3. Step 3: Cross multiply
    81,936x = 176,992 × 176,992
  4. Step 4: Simplify right side
    81,936x = 31,326,168,064
  5. Step 5: Solve for x
    x = 31,326,168,064/81,936
  6. Step 6: Final answer
    x = 382,324.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.