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Finding the Third Proportional to 38,188 and 82,019

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Solution

The third proportional to 38,188 and 82,019 is: 176,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,188 : 82,019 = 82,019 : x
  2. Step 2: Convert to fraction form
    38,188/82,019 = 82,019/x
  3. Step 3: Cross multiply
    38,188x = 82,019 × 82,019
  4. Step 4: Simplify right side
    38,188x = 6,727,116,361
  5. Step 5: Solve for x
    x = 6,727,116,361/38,188
  6. Step 6: Final answer
    x = 176,157.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.