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Finding the Third Proportional to 54,261 and 81,336

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Solution

The third proportional to 54,261 and 81,336 is: 121,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,261 : 81,336 = 81,336 : x
  2. Step 2: Convert to fraction form
    54,261/81,336 = 81,336/x
  3. Step 3: Cross multiply
    54,261x = 81,336 × 81,336
  4. Step 4: Simplify right side
    54,261x = 6,615,544,896
  5. Step 5: Solve for x
    x = 6,615,544,896/54,261
  6. Step 6: Final answer
    x = 121,920.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.