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Finding the Third Proportional to 85,849 and 131,324

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Solution

The third proportional to 85,849 and 131,324 is: 200,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,849 : 131,324 = 131,324 : x
  2. Step 2: Convert to fraction form
    85,849/131,324 = 131,324/x
  3. Step 3: Cross multiply
    85,849x = 131,324 × 131,324
  4. Step 4: Simplify right side
    85,849x = 17,245,992,976
  5. Step 5: Solve for x
    x = 17,245,992,976/85,849
  6. Step 6: Final answer
    x = 200,887.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.