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Finding the Third Proportional to 40,080.75 and 86,190.75

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Solution

The third proportional to 40,080.75 and 86,190.75 is: 185,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,080.75 : 86,190.75 = 86,190.75 : x
  2. Step 2: Convert to fraction form
    40,080.75/86,190.75 = 86,190.75/x
  3. Step 3: Cross multiply
    40,080.75x = 86,190.75 × 86,190.75
  4. Step 4: Simplify right side
    40,080.75x = 7,428,845,385.56
  5. Step 5: Solve for x
    x = 7,428,845,385.56/40,080.75
  6. Step 6: Final answer
    x = 185,346.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.