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Finding the Third Proportional to 57,351 and 134,934

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Solution

The third proportional to 57,351 and 134,934 is: 317,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,351 : 134,934 = 134,934 : x
  2. Step 2: Convert to fraction form
    57,351/134,934 = 134,934/x
  3. Step 3: Cross multiply
    57,351x = 134,934 × 134,934
  4. Step 4: Simplify right side
    57,351x = 18,207,184,356
  5. Step 5: Solve for x
    x = 18,207,184,356/57,351
  6. Step 6: Final answer
    x = 317,469.34

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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.