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Finding the Third Proportional to 85,589.50 and 133,049

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Solution

The third proportional to 85,589.50 and 133,049 is: 206,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,589.50 : 133,049 = 133,049 : x
  2. Step 2: Convert to fraction form
    85,589.50/133,049 = 133,049/x
  3. Step 3: Cross multiply
    85,589.50x = 133,049 × 133,049
  4. Step 4: Simplify right side
    85,589.50x = 17,702,036,401
  5. Step 5: Solve for x
    x = 17,702,036,401/85,589.50
  6. Step 6: Final answer
    x = 206,824.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.