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Finding the Third Proportional to 36,075 and 79,936.50

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Solution

The third proportional to 36,075 and 79,936.50 is: 177,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,075 : 79,936.50 = 79,936.50 : x
  2. Step 2: Convert to fraction form
    36,075/79,936.50 = 79,936.50/x
  3. Step 3: Cross multiply
    36,075x = 79,936.50 × 79,936.50
  4. Step 4: Simplify right side
    36,075x = 6,389,844,032.25
  5. Step 5: Solve for x
    x = 6,389,844,032.25/36,075
  6. Step 6: Final answer
    x = 177,126.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.