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Finding the Third Proportional to 57,072 and 137,496

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Solution

The third proportional to 57,072 and 137,496 is: 331,250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,072 : 137,496 = 137,496 : x
  2. Step 2: Convert to fraction form
    57,072/137,496 = 137,496/x
  3. Step 3: Cross multiply
    57,072x = 137,496 × 137,496
  4. Step 4: Simplify right side
    57,072x = 18,905,150,016
  5. Step 5: Solve for x
    x = 18,905,150,016/57,072
  6. Step 6: Final answer
    x = 331,250.88

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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.