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Finding the Third Proportional to 131,505.75 and 188,039.25

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Solution

The third proportional to 131,505.75 and 188,039.25 is: 268,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,505.75 : 188,039.25 = 188,039.25 : x
  2. Step 2: Convert to fraction form
    131,505.75/188,039.25 = 188,039.25/x
  3. Step 3: Cross multiply
    131,505.75x = 188,039.25 × 188,039.25
  4. Step 4: Simplify right side
    131,505.75x = 35,358,759,540.56
  5. Step 5: Solve for x
    x = 35,358,759,540.56/131,505.75
  6. Step 6: Final answer
    x = 268,876.15

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Why These Related Problems?

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