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Finding the Third Proportional to 68,050.75 and 155,224.25

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Solution

The third proportional to 68,050.75 and 155,224.25 is: 354,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,050.75 : 155,224.25 = 155,224.25 : x
  2. Step 2: Convert to fraction form
    68,050.75/155,224.25 = 155,224.25/x
  3. Step 3: Cross multiply
    68,050.75x = 155,224.25 × 155,224.25
  4. Step 4: Simplify right side
    68,050.75x = 24,094,567,788.06
  5. Step 5: Solve for x
    x = 24,094,567,788.06/68,050.75
  6. Step 6: Final answer
    x = 354,067.63

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.