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Finding the Third Proportional to 41,559.50 and 86,075

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Solution

The third proportional to 41,559.50 and 86,075 is: 178,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,559.50 : 86,075 = 86,075 : x
  2. Step 2: Convert to fraction form
    41,559.50/86,075 = 86,075/x
  3. Step 3: Cross multiply
    41,559.50x = 86,075 × 86,075
  4. Step 4: Simplify right side
    41,559.50x = 7,408,905,625
  5. Step 5: Solve for x
    x = 7,408,905,625/41,559.50
  6. Step 6: Final answer
    x = 178,272.25

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Why These Related Problems?

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