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Finding the Third Proportional to 101,572 and 220,093

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Solution

The third proportional to 101,572 and 220,093 is: 476,912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,572 : 220,093 = 220,093 : x
  2. Step 2: Convert to fraction form
    101,572/220,093 = 220,093/x
  3. Step 3: Cross multiply
    101,572x = 220,093 × 220,093
  4. Step 4: Simplify right side
    101,572x = 48,440,928,649
  5. Step 5: Solve for x
    x = 48,440,928,649/101,572
  6. Step 6: Final answer
    x = 476,912.23

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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.