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Finding the Third Proportional to 54,418.50 and 81,946.69

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Solution

The third proportional to 54,418.50 and 81,946.69 is: 123,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,418.50 : 81,946.69 = 81,946.69 : x
  2. Step 2: Convert to fraction form
    54,418.50/81,946.69 = 81,946.69/x
  3. Step 3: Cross multiply
    54,418.50x = 81,946.69 × 81,946.69
  4. Step 4: Simplify right side
    54,418.50x = 6,715,259,592.22
  5. Step 5: Solve for x
    x = 6,715,259,592.22/54,418.50
  6. Step 6: Final answer
    x = 123,400.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.