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Finding the Third Proportional to 85,039.50 and 185,622

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Solution

The third proportional to 85,039.50 and 185,622 is: 405,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,039.50 : 185,622 = 185,622 : x
  2. Step 2: Convert to fraction form
    85,039.50/185,622 = 185,622/x
  3. Step 3: Cross multiply
    85,039.50x = 185,622 × 185,622
  4. Step 4: Simplify right side
    85,039.50x = 34,455,526,884
  5. Step 5: Solve for x
    x = 34,455,526,884/85,039.50
  6. Step 6: Final answer
    x = 405,170.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.