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Finding the Third Proportional to 59,367 and 120,927

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Solution

The third proportional to 59,367 and 120,927 is: 246,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,367 : 120,927 = 120,927 : x
  2. Step 2: Convert to fraction form
    59,367/120,927 = 120,927/x
  3. Step 3: Cross multiply
    59,367x = 120,927 × 120,927
  4. Step 4: Simplify right side
    59,367x = 14,623,339,329
  5. Step 5: Solve for x
    x = 14,623,339,329/59,367
  6. Step 6: Final answer
    x = 246,321.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.