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Finding the Third Proportional to 57,242 and 87,563

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Solution

The third proportional to 57,242 and 87,563 is: 133,944.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242 : 87,563 = 87,563 : x
  2. Step 2: Convert to fraction form
    57,242/87,563 = 87,563/x
  3. Step 3: Cross multiply
    57,242x = 87,563 × 87,563
  4. Step 4: Simplify right side
    57,242x = 7,667,278,969
  5. Step 5: Solve for x
    x = 7,667,278,969/57,242
  6. Step 6: Final answer
    x = 133,944.99

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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.