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Finding the Third Proportional to 54,814 and 90,832

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Solution

The third proportional to 54,814 and 90,832 is: 150,517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,814 : 90,832 = 90,832 : x
  2. Step 2: Convert to fraction form
    54,814/90,832 = 90,832/x
  3. Step 3: Cross multiply
    54,814x = 90,832 × 90,832
  4. Step 4: Simplify right side
    54,814x = 8,250,452,224
  5. Step 5: Solve for x
    x = 8,250,452,224/54,814
  6. Step 6: Final answer
    x = 150,517.24

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.