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Finding the Third Proportional to 38,968 and 85,225

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Solution

The third proportional to 38,968 and 85,225 is: 186,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,968 : 85,225 = 85,225 : x
  2. Step 2: Convert to fraction form
    38,968/85,225 = 85,225/x
  3. Step 3: Cross multiply
    38,968x = 85,225 × 85,225
  4. Step 4: Simplify right side
    38,968x = 7,263,300,625
  5. Step 5: Solve for x
    x = 7,263,300,625/38,968
  6. Step 6: Final answer
    x = 186,391.41

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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.