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Finding the Third Proportional to 101,016 and 151,524

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Solution

The third proportional to 101,016 and 151,524 is: 227,286

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,016 : 151,524 = 151,524 : x
  2. Step 2: Convert to fraction form
    101,016/151,524 = 151,524/x
  3. Step 3: Cross multiply
    101,016x = 151,524 × 151,524
  4. Step 4: Simplify right side
    101,016x = 22,959,522,576
  5. Step 5: Solve for x
    x = 22,959,522,576/101,016
  6. Step 6: Final answer
    x = 227,286

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.