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Finding the Third Proportional to 101,626 and 150,963

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Solution

The third proportional to 101,626 and 150,963 is: 224,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,626 : 150,963 = 150,963 : x
  2. Step 2: Convert to fraction form
    101,626/150,963 = 150,963/x
  3. Step 3: Cross multiply
    101,626x = 150,963 × 150,963
  4. Step 4: Simplify right side
    101,626x = 22,789,827,369
  5. Step 5: Solve for x
    x = 22,789,827,369/101,626
  6. Step 6: Final answer
    x = 224,251.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.