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Finding the Third Proportional to 54,452.94 and 82,500.38

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Solution

The third proportional to 54,452.94 and 82,500.38 is: 124,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,452.94 : 82,500.38 = 82,500.38 : x
  2. Step 2: Convert to fraction form
    54,452.94/82,500.38 = 82,500.38/x
  3. Step 3: Cross multiply
    54,452.94x = 82,500.38 × 82,500.38
  4. Step 4: Simplify right side
    54,452.94x = 6,806,311,875.14
  5. Step 5: Solve for x
    x = 6,806,311,875.14/54,452.94
  6. Step 6: Final answer
    x = 124,994.39

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.