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Finding the Third Proportional to 70,142 and 150,238

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Solution

The third proportional to 70,142 and 150,238 is: 321,796.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,142 : 150,238 = 150,238 : x
  2. Step 2: Convert to fraction form
    70,142/150,238 = 150,238/x
  3. Step 3: Cross multiply
    70,142x = 150,238 × 150,238
  4. Step 4: Simplify right side
    70,142x = 22,571,456,644
  5. Step 5: Solve for x
    x = 22,571,456,644/70,142
  6. Step 6: Final answer
    x = 321,796.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.