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Finding the Third Proportional to 49,236 and 107,383

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Solution

The third proportional to 49,236 and 107,383 is: 234,200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,236 : 107,383 = 107,383 : x
  2. Step 2: Convert to fraction form
    49,236/107,383 = 107,383/x
  3. Step 3: Cross multiply
    49,236x = 107,383 × 107,383
  4. Step 4: Simplify right side
    49,236x = 11,531,108,689
  5. Step 5: Solve for x
    x = 11,531,108,689/49,236
  6. Step 6: Final answer
    x = 234,200.76

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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.