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Finding the Third Proportional to 73,027 and 110,329

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Solution

The third proportional to 73,027 and 110,329 is: 166,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,027 : 110,329 = 110,329 : x
  2. Step 2: Convert to fraction form
    73,027/110,329 = 110,329/x
  3. Step 3: Cross multiply
    73,027x = 110,329 × 110,329
  4. Step 4: Simplify right side
    73,027x = 12,172,488,241
  5. Step 5: Solve for x
    x = 12,172,488,241/73,027
  6. Step 6: Final answer
    x = 166,684.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.