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Finding the Third Proportional to 101,075 and 220,079

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Solution

The third proportional to 101,075 and 220,079 is: 479,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,075 : 220,079 = 220,079 : x
  2. Step 2: Convert to fraction form
    101,075/220,079 = 220,079/x
  3. Step 3: Cross multiply
    101,075x = 220,079 × 220,079
  4. Step 4: Simplify right side
    101,075x = 48,434,766,241
  5. Step 5: Solve for x
    x = 48,434,766,241/101,075
  6. Step 6: Final answer
    x = 479,196.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.