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Finding the Third Proportional to 30,086 and 64,198

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Solution

The third proportional to 30,086 and 64,198 is: 136,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,086 : 64,198 = 64,198 : x
  2. Step 2: Convert to fraction form
    30,086/64,198 = 64,198/x
  3. Step 3: Cross multiply
    30,086x = 64,198 × 64,198
  4. Step 4: Simplify right side
    30,086x = 4,121,383,204
  5. Step 5: Solve for x
    x = 4,121,383,204/30,086
  6. Step 6: Final answer
    x = 136,986.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.