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Finding the Third Proportional to 41,015 and 88,134

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Solution

The third proportional to 41,015 and 88,134 is: 189,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,015 : 88,134 = 88,134 : x
  2. Step 2: Convert to fraction form
    41,015/88,134 = 88,134/x
  3. Step 3: Cross multiply
    41,015x = 88,134 × 88,134
  4. Step 4: Simplify right side
    41,015x = 7,767,601,956
  5. Step 5: Solve for x
    x = 7,767,601,956/41,015
  6. Step 6: Final answer
    x = 189,384.42

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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.