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Finding the Third Proportional to 131,587.35 and 188,175.97

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Solution

The third proportional to 131,587.35 and 188,175.97 is: 269,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,587.35 : 188,175.97 = 188,175.97 : x
  2. Step 2: Convert to fraction form
    131,587.35/188,175.97 = 188,175.97/x
  3. Step 3: Cross multiply
    131,587.35x = 188,175.97 × 188,175.97
  4. Step 4: Simplify right side
    131,587.35x = 35,410,196,685.13
  5. Step 5: Solve for x
    x = 35,410,196,685.13/131,587.35
  6. Step 6: Final answer
    x = 269,100.31

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.