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Finding the Third Proportional to 37,734 and 85,199

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Solution

The third proportional to 37,734 and 85,199 is: 192,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,734 : 85,199 = 85,199 : x
  2. Step 2: Convert to fraction form
    37,734/85,199 = 85,199/x
  3. Step 3: Cross multiply
    37,734x = 85,199 × 85,199
  4. Step 4: Simplify right side
    37,734x = 7,258,869,601
  5. Step 5: Solve for x
    x = 7,258,869,601/37,734
  6. Step 6: Final answer
    x = 192,369.47

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.