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Finding the Third Proportional to 101,037 and 151,571

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Solution

The third proportional to 101,037 and 151,571 is: 227,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,037 : 151,571 = 151,571 : x
  2. Step 2: Convert to fraction form
    101,037/151,571 = 151,571/x
  3. Step 3: Cross multiply
    101,037x = 151,571 × 151,571
  4. Step 4: Simplify right side
    101,037x = 22,973,768,041
  5. Step 5: Solve for x
    x = 22,973,768,041/101,037
  6. Step 6: Final answer
    x = 227,379.75

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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.