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Finding the Third Proportional to 43,743 and 92,954

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Solution

The third proportional to 43,743 and 92,954 is: 197,527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,743 : 92,954 = 92,954 : x
  2. Step 2: Convert to fraction form
    43,743/92,954 = 92,954/x
  3. Step 3: Cross multiply
    43,743x = 92,954 × 92,954
  4. Step 4: Simplify right side
    43,743x = 8,640,446,116
  5. Step 5: Solve for x
    x = 8,640,446,116/43,743
  6. Step 6: Final answer
    x = 197,527.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.