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Finding the Third Proportional to 103,144 and 223,171

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Solution

The third proportional to 103,144 and 223,171 is: 482,871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,144 : 223,171 = 223,171 : x
  2. Step 2: Convert to fraction form
    103,144/223,171 = 223,171/x
  3. Step 3: Cross multiply
    103,144x = 223,171 × 223,171
  4. Step 4: Simplify right side
    103,144x = 49,805,295,241
  5. Step 5: Solve for x
    x = 49,805,295,241/103,144
  6. Step 6: Final answer
    x = 482,871.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.