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Finding the Third Proportional to 46,787 and 96,325

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Solution

The third proportional to 46,787 and 96,325 is: 198,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,787 : 96,325 = 96,325 : x
  2. Step 2: Convert to fraction form
    46,787/96,325 = 96,325/x
  3. Step 3: Cross multiply
    46,787x = 96,325 × 96,325
  4. Step 4: Simplify right side
    46,787x = 9,278,505,625
  5. Step 5: Solve for x
    x = 9,278,505,625/46,787
  6. Step 6: Final answer
    x = 198,313.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.