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Finding the Third Proportional to 57,606 and 137,391

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Solution

The third proportional to 57,606 and 137,391 is: 327,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,606 : 137,391 = 137,391 : x
  2. Step 2: Convert to fraction form
    57,606/137,391 = 137,391/x
  3. Step 3: Cross multiply
    57,606x = 137,391 × 137,391
  4. Step 4: Simplify right side
    57,606x = 18,876,286,881
  5. Step 5: Solve for x
    x = 18,876,286,881/57,606
  6. Step 6: Final answer
    x = 327,679.18

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.