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Finding the Third Proportional to 54,847.13 and 81,911.53

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Solution

The third proportional to 54,847.13 and 81,911.53 is: 122,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,847.13 : 81,911.53 = 81,911.53 : x
  2. Step 2: Convert to fraction form
    54,847.13/81,911.53 = 81,911.53/x
  3. Step 3: Cross multiply
    54,847.13x = 81,911.53 × 81,911.53
  4. Step 4: Simplify right side
    54,847.13x = 6,709,498,951.72
  5. Step 5: Solve for x
    x = 6,709,498,951.72/54,847.13
  6. Step 6: Final answer
    x = 122,330.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.