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Finding the Third Proportional to 47,270 and 73,183

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Solution

The third proportional to 47,270 and 73,183 is: 113,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,270 : 73,183 = 73,183 : x
  2. Step 2: Convert to fraction form
    47,270/73,183 = 73,183/x
  3. Step 3: Cross multiply
    47,270x = 73,183 × 73,183
  4. Step 4: Simplify right side
    47,270x = 5,355,751,489
  5. Step 5: Solve for x
    x = 5,355,751,489/47,270
  6. Step 6: Final answer
    x = 113,301.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.