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Finding the Third Proportional to 43,662 and 95,322

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Solution

The third proportional to 43,662 and 95,322 is: 208,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,662 : 95,322 = 95,322 : x
  2. Step 2: Convert to fraction form
    43,662/95,322 = 95,322/x
  3. Step 3: Cross multiply
    43,662x = 95,322 × 95,322
  4. Step 4: Simplify right side
    43,662x = 9,086,283,684
  5. Step 5: Solve for x
    x = 9,086,283,684/43,662
  6. Step 6: Final answer
    x = 208,105.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.