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Finding the Third Proportional to 45,921 and 95,997

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Solution

The third proportional to 45,921 and 95,997 is: 200,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,921 : 95,997 = 95,997 : x
  2. Step 2: Convert to fraction form
    45,921/95,997 = 95,997/x
  3. Step 3: Cross multiply
    45,921x = 95,997 × 95,997
  4. Step 4: Simplify right side
    45,921x = 9,215,424,009
  5. Step 5: Solve for x
    x = 9,215,424,009/45,921
  6. Step 6: Final answer
    x = 200,679.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.