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Finding the Third Proportional to 54,290.25 and 81,834.05

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Solution

The third proportional to 54,290.25 and 81,834.05 is: 123,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,290.25 : 81,834.05 = 81,834.05 : x
  2. Step 2: Convert to fraction form
    54,290.25/81,834.05 = 81,834.05/x
  3. Step 3: Cross multiply
    54,290.25x = 81,834.05 × 81,834.05
  4. Step 4: Simplify right side
    54,290.25x = 6,696,811,227.94
  5. Step 5: Solve for x
    x = 6,696,811,227.94/54,290.25
  6. Step 6: Final answer
    x = 123,352.01

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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.