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Finding the Third Proportional to 103,662 and 226,086

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Solution

The third proportional to 103,662 and 226,086 is: 493,091.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,662 : 226,086 = 226,086 : x
  2. Step 2: Convert to fraction form
    103,662/226,086 = 226,086/x
  3. Step 3: Cross multiply
    103,662x = 226,086 × 226,086
  4. Step 4: Simplify right side
    103,662x = 51,114,879,396
  5. Step 5: Solve for x
    x = 51,114,879,396/103,662
  6. Step 6: Final answer
    x = 493,091.77

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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.