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Finding the Third Proportional to 101,576 and 220,102

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Solution

The third proportional to 101,576 and 220,102 is: 476,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,576 : 220,102 = 220,102 : x
  2. Step 2: Convert to fraction form
    101,576/220,102 = 220,102/x
  3. Step 3: Cross multiply
    101,576x = 220,102 × 220,102
  4. Step 4: Simplify right side
    101,576x = 48,444,890,404
  5. Step 5: Solve for x
    x = 48,444,890,404/101,576
  6. Step 6: Final answer
    x = 476,932.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.