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Finding the Third Proportional to 73,102 and 151,950

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Solution

The third proportional to 73,102 and 151,950 is: 315,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,102 : 151,950 = 151,950 : x
  2. Step 2: Convert to fraction form
    73,102/151,950 = 151,950/x
  3. Step 3: Cross multiply
    73,102x = 151,950 × 151,950
  4. Step 4: Simplify right side
    73,102x = 23,088,802,500
  5. Step 5: Solve for x
    x = 23,088,802,500/73,102
  6. Step 6: Final answer
    x = 315,843.65

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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.