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Finding the Third Proportional to 105,331.13 and 149,040.38

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Solution

The third proportional to 105,331.13 and 149,040.38 is: 210,887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,331.13 : 149,040.38 = 149,040.38 : x
  2. Step 2: Convert to fraction form
    105,331.13/149,040.38 = 149,040.38/x
  3. Step 3: Cross multiply
    105,331.13x = 149,040.38 × 149,040.38
  4. Step 4: Simplify right side
    105,331.13x = 22,213,033,380.14
  5. Step 5: Solve for x
    x = 22,213,033,380.14/105,331.13
  6. Step 6: Final answer
    x = 210,887.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.