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Finding the Third Proportional to 57,034 and 137,401

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Solution

The third proportional to 57,034 and 137,401 is: 331,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,034 : 137,401 = 137,401 : x
  2. Step 2: Convert to fraction form
    57,034/137,401 = 137,401/x
  3. Step 3: Cross multiply
    57,034x = 137,401 × 137,401
  4. Step 4: Simplify right side
    57,034x = 18,879,034,801
  5. Step 5: Solve for x
    x = 18,879,034,801/57,034
  6. Step 6: Final answer
    x = 331,013.69

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.