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Finding the Third Proportional to 49,188 and 107,832

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Solution

The third proportional to 49,188 and 107,832 is: 236,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,188 : 107,832 = 107,832 : x
  2. Step 2: Convert to fraction form
    49,188/107,832 = 107,832/x
  3. Step 3: Cross multiply
    49,188x = 107,832 × 107,832
  4. Step 4: Simplify right side
    49,188x = 11,627,740,224
  5. Step 5: Solve for x
    x = 11,627,740,224/49,188
  6. Step 6: Final answer
    x = 236,393.84

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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.