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Finding the Third Proportional to 51,884 and 101,176

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Solution

The third proportional to 51,884 and 101,176 is: 197,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,884 : 101,176 = 101,176 : x
  2. Step 2: Convert to fraction form
    51,884/101,176 = 101,176/x
  3. Step 3: Cross multiply
    51,884x = 101,176 × 101,176
  4. Step 4: Simplify right side
    51,884x = 10,236,582,976
  5. Step 5: Solve for x
    x = 10,236,582,976/51,884
  6. Step 6: Final answer
    x = 197,297.49

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.