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Finding the Third Proportional to 107,974 and 168,041

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Solution

The third proportional to 107,974 and 168,041 is: 261,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,974 : 168,041 = 168,041 : x
  2. Step 2: Convert to fraction form
    107,974/168,041 = 168,041/x
  3. Step 3: Cross multiply
    107,974x = 168,041 × 168,041
  4. Step 4: Simplify right side
    107,974x = 28,237,777,681
  5. Step 5: Solve for x
    x = 28,237,777,681/107,974
  6. Step 6: Final answer
    x = 261,523.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.