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Finding the Third Proportional to 85,736.25 and 188,073

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Solution

The third proportional to 85,736.25 and 188,073 is: 412,561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,736.25 : 188,073 = 188,073 : x
  2. Step 2: Convert to fraction form
    85,736.25/188,073 = 188,073/x
  3. Step 3: Cross multiply
    85,736.25x = 188,073 × 188,073
  4. Step 4: Simplify right side
    85,736.25x = 35,371,453,329
  5. Step 5: Solve for x
    x = 35,371,453,329/85,736.25
  6. Step 6: Final answer
    x = 412,561.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.