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Finding the Third Proportional to 103,635 and 223,126

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Solution

The third proportional to 103,635 and 223,126 is: 480,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635 : 223,126 = 223,126 : x
  2. Step 2: Convert to fraction form
    103,635/223,126 = 223,126/x
  3. Step 3: Cross multiply
    103,635x = 223,126 × 223,126
  4. Step 4: Simplify right side
    103,635x = 49,785,211,876
  5. Step 5: Solve for x
    x = 49,785,211,876/103,635
  6. Step 6: Final answer
    x = 480,389.94

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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.