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Finding the Third Proportional to 57,109.50 and 131,622.75

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Solution

The third proportional to 57,109.50 and 131,622.75 is: 303,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,109.50 : 131,622.75 = 131,622.75 : x
  2. Step 2: Convert to fraction form
    57,109.50/131,622.75 = 131,622.75/x
  3. Step 3: Cross multiply
    57,109.50x = 131,622.75 × 131,622.75
  4. Step 4: Simplify right side
    57,109.50x = 17,324,548,317.56
  5. Step 5: Solve for x
    x = 17,324,548,317.56/57,109.50
  6. Step 6: Final answer
    x = 303,356.68

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.