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Finding the Third Proportional to 28,190 and 62,212

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Solution

The third proportional to 28,190 and 62,212 is: 137,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,190 : 62,212 = 62,212 : x
  2. Step 2: Convert to fraction form
    28,190/62,212 = 62,212/x
  3. Step 3: Cross multiply
    28,190x = 62,212 × 62,212
  4. Step 4: Simplify right side
    28,190x = 3,870,332,944
  5. Step 5: Solve for x
    x = 3,870,332,944/28,190
  6. Step 6: Final answer
    x = 137,294.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.