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Finding the Third Proportional to 51,714 and 79,075

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Solution

The third proportional to 51,714 and 79,075 is: 120,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,714 : 79,075 = 79,075 : x
  2. Step 2: Convert to fraction form
    51,714/79,075 = 79,075/x
  3. Step 3: Cross multiply
    51,714x = 79,075 × 79,075
  4. Step 4: Simplify right side
    51,714x = 6,252,855,625
  5. Step 5: Solve for x
    x = 6,252,855,625/51,714
  6. Step 6: Final answer
    x = 120,912.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.