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Finding the Third Proportional to 43,650 and 94,860

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Solution

The third proportional to 43,650 and 94,860 is: 206,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,650 : 94,860 = 94,860 : x
  2. Step 2: Convert to fraction form
    43,650/94,860 = 94,860/x
  3. Step 3: Cross multiply
    43,650x = 94,860 × 94,860
  4. Step 4: Simplify right side
    43,650x = 8,998,419,600
  5. Step 5: Solve for x
    x = 8,998,419,600/43,650
  6. Step 6: Final answer
    x = 206,149.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.