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Finding the Third Proportional to 38,761 and 86,288

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Solution

The third proportional to 38,761 and 86,288 is: 192,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,761 : 86,288 = 86,288 : x
  2. Step 2: Convert to fraction form
    38,761/86,288 = 86,288/x
  3. Step 3: Cross multiply
    38,761x = 86,288 × 86,288
  4. Step 4: Simplify right side
    38,761x = 7,445,618,944
  5. Step 5: Solve for x
    x = 7,445,618,944/38,761
  6. Step 6: Final answer
    x = 192,090.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.