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Finding the Third Proportional to 73,107 and 151,958

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Solution

The third proportional to 73,107 and 151,958 is: 315,855.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,107 : 151,958 = 151,958 : x
  2. Step 2: Convert to fraction form
    73,107/151,958 = 151,958/x
  3. Step 3: Cross multiply
    73,107x = 151,958 × 151,958
  4. Step 4: Simplify right side
    73,107x = 23,091,233,764
  5. Step 5: Solve for x
    x = 23,091,233,764/73,107
  6. Step 6: Final answer
    x = 315,855.30

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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.