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Finding the Third Proportional to 80,376.75 and 174,786.75

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Solution

The third proportional to 80,376.75 and 174,786.75 is: 380,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,376.75 : 174,786.75 = 174,786.75 : x
  2. Step 2: Convert to fraction form
    80,376.75/174,786.75 = 174,786.75/x
  3. Step 3: Cross multiply
    80,376.75x = 174,786.75 × 174,786.75
  4. Step 4: Simplify right side
    80,376.75x = 30,550,407,975.56
  5. Step 5: Solve for x
    x = 30,550,407,975.56/80,376.75
  6. Step 6: Final answer
    x = 380,090.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.