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Finding the Third Proportional to 57,344.75 and 134,920.38

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Solution

The third proportional to 57,344.75 and 134,920.38 is: 317,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,344.75 : 134,920.38 = 134,920.38 : x
  2. Step 2: Convert to fraction form
    57,344.75/134,920.38 = 134,920.38/x
  3. Step 3: Cross multiply
    57,344.75x = 134,920.38 × 134,920.38
  4. Step 4: Simplify right side
    57,344.75x = 18,203,507,590.14
  5. Step 5: Solve for x
    x = 18,203,507,590.14/57,344.75
  6. Step 6: Final answer
    x = 317,439.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.