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Finding the Third Proportional to 72,578 and 111,027

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Solution

The third proportional to 72,578 and 111,027 is: 169,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,578 : 111,027 = 111,027 : x
  2. Step 2: Convert to fraction form
    72,578/111,027 = 111,027/x
  3. Step 3: Cross multiply
    72,578x = 111,027 × 111,027
  4. Step 4: Simplify right side
    72,578x = 12,326,994,729
  5. Step 5: Solve for x
    x = 12,326,994,729/72,578
  6. Step 6: Final answer
    x = 169,844.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.