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Finding the Third Proportional to 57,503 and 79,183

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Solution

The third proportional to 57,503 and 79,183 is: 109,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,503 : 79,183 = 79,183 : x
  2. Step 2: Convert to fraction form
    57,503/79,183 = 79,183/x
  3. Step 3: Cross multiply
    57,503x = 79,183 × 79,183
  4. Step 4: Simplify right side
    57,503x = 6,269,947,489
  5. Step 5: Solve for x
    x = 6,269,947,489/57,503
  6. Step 6: Final answer
    x = 109,036.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.