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Finding the Third Proportional to 43,500 and 95,992

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Solution

The third proportional to 43,500 and 95,992 is: 211,826.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,500 : 95,992 = 95,992 : x
  2. Step 2: Convert to fraction form
    43,500/95,992 = 95,992/x
  3. Step 3: Cross multiply
    43,500x = 95,992 × 95,992
  4. Step 4: Simplify right side
    43,500x = 9,214,464,064
  5. Step 5: Solve for x
    x = 9,214,464,064/43,500
  6. Step 6: Final answer
    x = 211,826.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.