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Finding the Third Proportional to 37,314 and 79,245

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Solution

The third proportional to 37,314 and 79,245 is: 168,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,314 : 79,245 = 79,245 : x
  2. Step 2: Convert to fraction form
    37,314/79,245 = 79,245/x
  3. Step 3: Cross multiply
    37,314x = 79,245 × 79,245
  4. Step 4: Simplify right side
    37,314x = 6,279,770,025
  5. Step 5: Solve for x
    x = 6,279,770,025/37,314
  6. Step 6: Final answer
    x = 168,295.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.