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Finding the Third Proportional to 118,847.25 and 172,914.75

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Solution

The third proportional to 118,847.25 and 172,914.75 is: 251,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,847.25 : 172,914.75 = 172,914.75 : x
  2. Step 2: Convert to fraction form
    118,847.25/172,914.75 = 172,914.75/x
  3. Step 3: Cross multiply
    118,847.25x = 172,914.75 × 172,914.75
  4. Step 4: Simplify right side
    118,847.25x = 29,899,510,767.56
  5. Step 5: Solve for x
    x = 29,899,510,767.56/118,847.25
  6. Step 6: Final answer
    x = 251,579.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.