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Finding the Third Proportional to 70,204 and 95,266

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Solution

The third proportional to 70,204 and 95,266 is: 129,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,204 : 95,266 = 95,266 : x
  2. Step 2: Convert to fraction form
    70,204/95,266 = 95,266/x
  3. Step 3: Cross multiply
    70,204x = 95,266 × 95,266
  4. Step 4: Simplify right side
    70,204x = 9,075,610,756
  5. Step 5: Solve for x
    x = 9,075,610,756/70,204
  6. Step 6: Final answer
    x = 129,274.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.