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Finding the Third Proportional to 101,022 and 151,533

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Solution

The third proportional to 101,022 and 151,533 is: 227,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,022 : 151,533 = 151,533 : x
  2. Step 2: Convert to fraction form
    101,022/151,533 = 151,533/x
  3. Step 3: Cross multiply
    101,022x = 151,533 × 151,533
  4. Step 4: Simplify right side
    101,022x = 22,962,250,089
  5. Step 5: Solve for x
    x = 22,962,250,089/101,022
  6. Step 6: Final answer
    x = 227,299.50

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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.