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Finding the Third Proportional to 43,494 and 101,622

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Solution

The third proportional to 43,494 and 101,622 is: 237,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,494 : 101,622 = 101,622 : x
  2. Step 2: Convert to fraction form
    43,494/101,622 = 101,622/x
  3. Step 3: Cross multiply
    43,494x = 101,622 × 101,622
  4. Step 4: Simplify right side
    43,494x = 10,327,030,884
  5. Step 5: Solve for x
    x = 10,327,030,884/43,494
  6. Step 6: Final answer
    x = 237,435.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.