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Finding the Third Proportional to 38,173 and 85,741

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Solution

The third proportional to 38,173 and 85,741 is: 192,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,173 : 85,741 = 85,741 : x
  2. Step 2: Convert to fraction form
    38,173/85,741 = 85,741/x
  3. Step 3: Cross multiply
    38,173x = 85,741 × 85,741
  4. Step 4: Simplify right side
    38,173x = 7,351,519,081
  5. Step 5: Solve for x
    x = 7,351,519,081/38,173
  6. Step 6: Final answer
    x = 192,584.26

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.