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Finding the Third Proportional to 101,530 and 149,350

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Solution

The third proportional to 101,530 and 149,350 is: 219,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,530 : 149,350 = 149,350 : x
  2. Step 2: Convert to fraction form
    101,530/149,350 = 149,350/x
  3. Step 3: Cross multiply
    101,530x = 149,350 × 149,350
  4. Step 4: Simplify right side
    101,530x = 22,305,422,500
  5. Step 5: Solve for x
    x = 22,305,422,500/101,530
  6. Step 6: Final answer
    x = 219,692.92

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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.