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Finding the Third Proportional to 103,675 and 226,115

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Solution

The third proportional to 103,675 and 226,115 is: 493,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,675 : 226,115 = 226,115 : x
  2. Step 2: Convert to fraction form
    103,675/226,115 = 226,115/x
  3. Step 3: Cross multiply
    103,675x = 226,115 × 226,115
  4. Step 4: Simplify right side
    103,675x = 51,127,993,225
  5. Step 5: Solve for x
    x = 51,127,993,225/103,675
  6. Step 6: Final answer
    x = 493,156.43

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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.