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Finding the Third Proportional to 73,110 and 151,965

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Solution

The third proportional to 73,110 and 151,965 is: 315,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,110 : 151,965 = 151,965 : x
  2. Step 2: Convert to fraction form
    73,110/151,965 = 151,965/x
  3. Step 3: Cross multiply
    73,110x = 151,965 × 151,965
  4. Step 4: Simplify right side
    73,110x = 23,093,361,225
  5. Step 5: Solve for x
    x = 23,093,361,225/73,110
  6. Step 6: Final answer
    x = 315,871.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.