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Finding the Third Proportional to 39,772 and 87,199

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Solution

The third proportional to 39,772 and 87,199 is: 191,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,772 : 87,199 = 87,199 : x
  2. Step 2: Convert to fraction form
    39,772/87,199 = 87,199/x
  3. Step 3: Cross multiply
    39,772x = 87,199 × 87,199
  4. Step 4: Simplify right side
    39,772x = 7,603,665,601
  5. Step 5: Solve for x
    x = 7,603,665,601/39,772
  6. Step 6: Final answer
    x = 191,181.37

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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.