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Finding the Third Proportional to 51,876 and 101,160

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Solution

The third proportional to 51,876 and 101,160 is: 197,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,876 : 101,160 = 101,160 : x
  2. Step 2: Convert to fraction form
    51,876/101,160 = 101,160/x
  3. Step 3: Cross multiply
    51,876x = 101,160 × 101,160
  4. Step 4: Simplify right side
    51,876x = 10,233,345,600
  5. Step 5: Solve for x
    x = 10,233,345,600/51,876
  6. Step 6: Final answer
    x = 197,265.51

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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.