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Finding the Third Proportional to 101,252 and 151,041

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Solution

The third proportional to 101,252 and 151,041 is: 225,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,252 : 151,041 = 151,041 : x
  2. Step 2: Convert to fraction form
    101,252/151,041 = 151,041/x
  3. Step 3: Cross multiply
    101,252x = 151,041 × 151,041
  4. Step 4: Simplify right side
    101,252x = 22,813,383,681
  5. Step 5: Solve for x
    x = 22,813,383,681/101,252
  6. Step 6: Final answer
    x = 225,312.92

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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.