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Finding the Third Proportional to 38,092 and 88,171

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Solution

The third proportional to 38,092 and 88,171 is: 204,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,092 : 88,171 = 88,171 : x
  2. Step 2: Convert to fraction form
    38,092/88,171 = 88,171/x
  3. Step 3: Cross multiply
    38,092x = 88,171 × 88,171
  4. Step 4: Simplify right side
    38,092x = 7,774,125,241
  5. Step 5: Solve for x
    x = 7,774,125,241/38,092
  6. Step 6: Final answer
    x = 204,088.14

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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.