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Finding the Third Proportional to 47,876 and 73,110

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Solution

The third proportional to 47,876 and 73,110 is: 111,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,876 : 73,110 = 73,110 : x
  2. Step 2: Convert to fraction form
    47,876/73,110 = 73,110/x
  3. Step 3: Cross multiply
    47,876x = 73,110 × 73,110
  4. Step 4: Simplify right side
    47,876x = 5,345,072,100
  5. Step 5: Solve for x
    x = 5,345,072,100/47,876
  6. Step 6: Final answer
    x = 111,644.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.