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Finding the Third Proportional to 101,623.50 and 150,960.38

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Solution

The third proportional to 101,623.50 and 150,960.38 is: 224,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,623.50 : 150,960.38 = 150,960.38 : x
  2. Step 2: Convert to fraction form
    101,623.50/150,960.38 = 150,960.38/x
  3. Step 3: Cross multiply
    101,623.50x = 150,960.38 × 150,960.38
  4. Step 4: Simplify right side
    101,623.50x = 22,789,034,820.14
  5. Step 5: Solve for x
    x = 22,789,034,820.14/101,623.50
  6. Step 6: Final answer
    x = 224,249.66

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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.