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Finding the Third Proportional to 101,755.75 and 149,585.25

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Solution

The third proportional to 101,755.75 and 149,585.25 is: 219,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,755.75 : 149,585.25 = 149,585.25 : x
  2. Step 2: Convert to fraction form
    101,755.75/149,585.25 = 149,585.25/x
  3. Step 3: Cross multiply
    101,755.75x = 149,585.25 × 149,585.25
  4. Step 4: Simplify right side
    101,755.75x = 22,375,747,017.56
  5. Step 5: Solve for x
    x = 22,375,747,017.56/101,755.75
  6. Step 6: Final answer
    x = 219,896.64

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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.