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Finding the Third Proportional to 41,725.88 and 86,367.75

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Solution

The third proportional to 41,725.88 and 86,367.75 is: 178,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,725.88 : 86,367.75 = 86,367.75 : x
  2. Step 2: Convert to fraction form
    41,725.88/86,367.75 = 86,367.75/x
  3. Step 3: Cross multiply
    41,725.88x = 86,367.75 × 86,367.75
  4. Step 4: Simplify right side
    41,725.88x = 7,459,388,240.06
  5. Step 5: Solve for x
    x = 7,459,388,240.06/41,725.88
  6. Step 6: Final answer
    x = 178,771.28

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.