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Finding the Third Proportional to 73,256 and 111,286

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Solution

The third proportional to 73,256 and 111,286 is: 169,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,256 : 111,286 = 111,286 : x
  2. Step 2: Convert to fraction form
    73,256/111,286 = 111,286/x
  3. Step 3: Cross multiply
    73,256x = 111,286 × 111,286
  4. Step 4: Simplify right side
    73,256x = 12,384,573,796
  5. Step 5: Solve for x
    x = 12,384,573,796/73,256
  6. Step 6: Final answer
    x = 169,058.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.