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Finding the Third Proportional to 118,736 and 189,336

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Solution

The third proportional to 118,736 and 189,336 is: 301,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,736 : 189,336 = 189,336 : x
  2. Step 2: Convert to fraction form
    118,736/189,336 = 189,336/x
  3. Step 3: Cross multiply
    118,736x = 189,336 × 189,336
  4. Step 4: Simplify right side
    118,736x = 35,848,120,896
  5. Step 5: Solve for x
    x = 35,848,120,896/118,736
  6. Step 6: Final answer
    x = 301,914.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.