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Finding the Third Proportional to 40,992 and 83,904

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Solution

The third proportional to 40,992 and 83,904 is: 171,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,992 : 83,904 = 83,904 : x
  2. Step 2: Convert to fraction form
    40,992/83,904 = 83,904/x
  3. Step 3: Cross multiply
    40,992x = 83,904 × 83,904
  4. Step 4: Simplify right side
    40,992x = 7,039,881,216
  5. Step 5: Solve for x
    x = 7,039,881,216/40,992
  6. Step 6: Final answer
    x = 171,737.93

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.