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Finding the Third Proportional to 101,850.75 and 149,131.13

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Solution

The third proportional to 101,850.75 and 149,131.13 is: 218,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,850.75 : 149,131.13 = 149,131.13 : x
  2. Step 2: Convert to fraction form
    101,850.75/149,131.13 = 149,131.13/x
  3. Step 3: Cross multiply
    101,850.75x = 149,131.13 × 149,131.13
  4. Step 4: Simplify right side
    101,850.75x = 22,240,092,443.77
  5. Step 5: Solve for x
    x = 22,240,092,443.77/101,850.75
  6. Step 6: Final answer
    x = 218,359.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.