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Finding the Third Proportional to 73,974 and 120,182

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Solution

The third proportional to 73,974 and 120,182 is: 195,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,974 : 120,182 = 120,182 : x
  2. Step 2: Convert to fraction form
    73,974/120,182 = 120,182/x
  3. Step 3: Cross multiply
    73,974x = 120,182 × 120,182
  4. Step 4: Simplify right side
    73,974x = 14,443,713,124
  5. Step 5: Solve for x
    x = 14,443,713,124/73,974
  6. Step 6: Final answer
    x = 195,253.92

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.