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Finding the Third Proportional to 50,220 and 111,454

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Solution

The third proportional to 50,220 and 111,454 is: 247,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,220 : 111,454 = 111,454 : x
  2. Step 2: Convert to fraction form
    50,220/111,454 = 111,454/x
  3. Step 3: Cross multiply
    50,220x = 111,454 × 111,454
  4. Step 4: Simplify right side
    50,220x = 12,421,994,116
  5. Step 5: Solve for x
    x = 12,421,994,116/50,220
  6. Step 6: Final answer
    x = 247,351.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.