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Finding the Third Proportional to 54,435.85 and 117,213.91

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Solution

The third proportional to 54,435.85 and 117,213.91 is: 252,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,435.85 : 117,213.91 = 117,213.91 : x
  2. Step 2: Convert to fraction form
    54,435.85/117,213.91 = 117,213.91/x
  3. Step 3: Cross multiply
    54,435.85x = 117,213.91 × 117,213.91
  4. Step 4: Simplify right side
    54,435.85x = 13,739,100,276.25
  5. Step 5: Solve for x
    x = 13,739,100,276.25/54,435.85
  6. Step 6: Final answer
    x = 252,390.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.