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Finding the Third Proportional to 54,544.72 and 82,941.55

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Solution

The third proportional to 54,544.72 and 82,941.55 is: 126,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,544.72 : 82,941.55 = 82,941.55 : x
  2. Step 2: Convert to fraction form
    54,544.72/82,941.55 = 82,941.55/x
  3. Step 3: Cross multiply
    54,544.72x = 82,941.55 × 82,941.55
  4. Step 4: Simplify right side
    54,544.72x = 6,879,300,360.01
  5. Step 5: Solve for x
    x = 6,879,300,360.01/54,544.72
  6. Step 6: Final answer
    x = 126,122.21

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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.