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Finding the Third Proportional to 118,136 and 188,067

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Solution

The third proportional to 118,136 and 188,067 is: 299,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,136 : 188,067 = 188,067 : x
  2. Step 2: Convert to fraction form
    118,136/188,067 = 188,067/x
  3. Step 3: Cross multiply
    118,136x = 188,067 × 188,067
  4. Step 4: Simplify right side
    118,136x = 35,369,196,489
  5. Step 5: Solve for x
    x = 35,369,196,489/118,136
  6. Step 6: Final answer
    x = 299,393.89

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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.