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Finding the Third Proportional to 38,092 and 88,170

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Solution

The third proportional to 38,092 and 88,170 is: 204,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,092 : 88,170 = 88,170 : x
  2. Step 2: Convert to fraction form
    38,092/88,170 = 88,170/x
  3. Step 3: Cross multiply
    38,092x = 88,170 × 88,170
  4. Step 4: Simplify right side
    38,092x = 7,773,948,900
  5. Step 5: Solve for x
    x = 7,773,948,900/38,092
  6. Step 6: Final answer
    x = 204,083.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.