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Finding the Third Proportional to 107,474 and 166,974

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Solution

The third proportional to 107,474 and 166,974 is: 259,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,474 : 166,974 = 166,974 : x
  2. Step 2: Convert to fraction form
    107,474/166,974 = 166,974/x
  3. Step 3: Cross multiply
    107,474x = 166,974 × 166,974
  4. Step 4: Simplify right side
    107,474x = 27,880,316,676
  5. Step 5: Solve for x
    x = 27,880,316,676/107,474
  6. Step 6: Final answer
    x = 259,414.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.