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Finding the Third Proportional to 50,842 and 79,075

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Solution

The third proportional to 50,842 and 79,075 is: 122,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,842 : 79,075 = 79,075 : x
  2. Step 2: Convert to fraction form
    50,842/79,075 = 79,075/x
  3. Step 3: Cross multiply
    50,842x = 79,075 × 79,075
  4. Step 4: Simplify right side
    50,842x = 6,252,855,625
  5. Step 5: Solve for x
    x = 6,252,855,625/50,842
  6. Step 6: Final answer
    x = 122,986.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.