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Finding the Third Proportional to 101,360 and 156,027

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Solution

The third proportional to 101,360 and 156,027 is: 240,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,360 : 156,027 = 156,027 : x
  2. Step 2: Convert to fraction form
    101,360/156,027 = 156,027/x
  3. Step 3: Cross multiply
    101,360x = 156,027 × 156,027
  4. Step 4: Simplify right side
    101,360x = 24,344,424,729
  5. Step 5: Solve for x
    x = 24,344,424,729/101,360
  6. Step 6: Final answer
    x = 240,177.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.