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Finding the Third Proportional to 49,238 and 107,387

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Solution

The third proportional to 49,238 and 107,387 is: 234,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,238 : 107,387 = 107,387 : x
  2. Step 2: Convert to fraction form
    49,238/107,387 = 107,387/x
  3. Step 3: Cross multiply
    49,238x = 107,387 × 107,387
  4. Step 4: Simplify right side
    49,238x = 11,531,967,769
  5. Step 5: Solve for x
    x = 11,531,967,769/49,238
  6. Step 6: Final answer
    x = 234,208.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.