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Finding the Third Proportional to 43,673 and 102,662

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Solution

The third proportional to 43,673 and 102,662 is: 241,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,673 : 102,662 = 102,662 : x
  2. Step 2: Convert to fraction form
    43,673/102,662 = 102,662/x
  3. Step 3: Cross multiply
    43,673x = 102,662 × 102,662
  4. Step 4: Simplify right side
    43,673x = 10,539,486,244
  5. Step 5: Solve for x
    x = 10,539,486,244/43,673
  6. Step 6: Final answer
    x = 241,327.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.