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Finding the Third Proportional to 101,761.31 and 149,589.84

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Solution

The third proportional to 101,761.31 and 149,589.84 is: 219,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,761.31 : 149,589.84 = 149,589.84 : x
  2. Step 2: Convert to fraction form
    101,761.31/149,589.84 = 149,589.84/x
  3. Step 3: Cross multiply
    101,761.31x = 149,589.84 × 149,589.84
  4. Step 4: Simplify right side
    101,761.31x = 22,377,121,353.15
  5. Step 5: Solve for x
    x = 22,377,121,353.15/101,761.31
  6. Step 6: Final answer
    x = 219,898.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.