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Finding the Third Proportional to 36,538 and 78,244

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Solution

The third proportional to 36,538 and 78,244 is: 167,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,538 : 78,244 = 78,244 : x
  2. Step 2: Convert to fraction form
    36,538/78,244 = 78,244/x
  3. Step 3: Cross multiply
    36,538x = 78,244 × 78,244
  4. Step 4: Simplify right side
    36,538x = 6,122,123,536
  5. Step 5: Solve for x
    x = 6,122,123,536/36,538
  6. Step 6: Final answer
    x = 167,554.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.