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Finding the Third Proportional to 49,515 and 108,387

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Solution

The third proportional to 49,515 and 108,387 is: 237,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,515 : 108,387 = 108,387 : x
  2. Step 2: Convert to fraction form
    49,515/108,387 = 108,387/x
  3. Step 3: Cross multiply
    49,515x = 108,387 × 108,387
  4. Step 4: Simplify right side
    49,515x = 11,747,741,769
  5. Step 5: Solve for x
    x = 11,747,741,769/49,515
  6. Step 6: Final answer
    x = 237,256.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.