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Finding the Third Proportional to 57,024 and 137,376

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Solution

The third proportional to 57,024 and 137,376 is: 330,951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,024 : 137,376 = 137,376 : x
  2. Step 2: Convert to fraction form
    57,024/137,376 = 137,376/x
  3. Step 3: Cross multiply
    57,024x = 137,376 × 137,376
  4. Step 4: Simplify right side
    57,024x = 18,872,165,376
  5. Step 5: Solve for x
    x = 18,872,165,376/57,024
  6. Step 6: Final answer
    x = 330,951.27

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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.