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Finding the Third Proportional to 37,241 and 87,839

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Solution

The third proportional to 37,241 and 87,839 is: 207,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,241 : 87,839 = 87,839 : x
  2. Step 2: Convert to fraction form
    37,241/87,839 = 87,839/x
  3. Step 3: Cross multiply
    37,241x = 87,839 × 87,839
  4. Step 4: Simplify right side
    37,241x = 7,715,689,921
  5. Step 5: Solve for x
    x = 7,715,689,921/37,241
  6. Step 6: Final answer
    x = 207,182.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.