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Finding the Third Proportional to 38,230 and 81,104

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Solution

The third proportional to 38,230 and 81,104 is: 172,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,230 : 81,104 = 81,104 : x
  2. Step 2: Convert to fraction form
    38,230/81,104 = 81,104/x
  3. Step 3: Cross multiply
    38,230x = 81,104 × 81,104
  4. Step 4: Simplify right side
    38,230x = 6,577,858,816
  5. Step 5: Solve for x
    x = 6,577,858,816/38,230
  6. Step 6: Final answer
    x = 172,060.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.