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Finding the Third Proportional to 101,576 and 218,762

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Solution

The third proportional to 101,576 and 218,762 is: 471,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,576 : 218,762 = 218,762 : x
  2. Step 2: Convert to fraction form
    101,576/218,762 = 218,762/x
  3. Step 3: Cross multiply
    101,576x = 218,762 × 218,762
  4. Step 4: Simplify right side
    101,576x = 47,856,812,644
  5. Step 5: Solve for x
    x = 47,856,812,644/101,576
  6. Step 6: Final answer
    x = 471,142.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.