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Finding the Third Proportional to 101,204 and 150,985

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Solution

The third proportional to 101,204 and 150,985 is: 225,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,204 : 150,985 = 150,985 : x
  2. Step 2: Convert to fraction form
    101,204/150,985 = 150,985/x
  3. Step 3: Cross multiply
    101,204x = 150,985 × 150,985
  4. Step 4: Simplify right side
    101,204x = 22,796,470,225
  5. Step 5: Solve for x
    x = 22,796,470,225/101,204
  6. Step 6: Final answer
    x = 225,252.66

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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.