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Finding the Third Proportional to 48,936 and 107,988

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Solution

The third proportional to 48,936 and 107,988 is: 238,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,936 : 107,988 = 107,988 : x
  2. Step 2: Convert to fraction form
    48,936/107,988 = 107,988/x
  3. Step 3: Cross multiply
    48,936x = 107,988 × 107,988
  4. Step 4: Simplify right side
    48,936x = 11,661,408,144
  5. Step 5: Solve for x
    x = 11,661,408,144/48,936
  6. Step 6: Final answer
    x = 238,299.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.