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Finding the Third Proportional to 37,751 and 79,174

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Solution

The third proportional to 37,751 and 79,174 is: 166,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,751 : 79,174 = 79,174 : x
  2. Step 2: Convert to fraction form
    37,751/79,174 = 79,174/x
  3. Step 3: Cross multiply
    37,751x = 79,174 × 79,174
  4. Step 4: Simplify right side
    37,751x = 6,268,522,276
  5. Step 5: Solve for x
    x = 6,268,522,276/37,751
  6. Step 6: Final answer
    x = 166,049.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.