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Finding the Third Proportional to 73,976 and 120,185

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Solution

The third proportional to 73,976 and 120,185 is: 195,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,976 : 120,185 = 120,185 : x
  2. Step 2: Convert to fraction form
    73,976/120,185 = 120,185/x
  3. Step 3: Cross multiply
    73,976x = 120,185 × 120,185
  4. Step 4: Simplify right side
    73,976x = 14,444,434,225
  5. Step 5: Solve for x
    x = 14,444,434,225/73,976
  6. Step 6: Final answer
    x = 195,258.38

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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.