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Finding the Third Proportional to 85,911.75 and 131,086.13

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Solution

The third proportional to 85,911.75 and 131,086.13 is: 200,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,911.75 : 131,086.13 = 131,086.13 : x
  2. Step 2: Convert to fraction form
    85,911.75/131,086.13 = 131,086.13/x
  3. Step 3: Cross multiply
    85,911.75x = 131,086.13 × 131,086.13
  4. Step 4: Simplify right side
    85,911.75x = 17,183,572,167.52
  5. Step 5: Solve for x
    x = 17,183,572,167.52/85,911.75
  6. Step 6: Final answer
    x = 200,014.23

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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.