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Finding the Third Proportional to 76,625.25 and 118,923.75

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Solution

The third proportional to 76,625.25 and 118,923.75 is: 184,571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,625.25 : 118,923.75 = 118,923.75 : x
  2. Step 2: Convert to fraction form
    76,625.25/118,923.75 = 118,923.75/x
  3. Step 3: Cross multiply
    76,625.25x = 118,923.75 × 118,923.75
  4. Step 4: Simplify right side
    76,625.25x = 14,142,858,314.06
  5. Step 5: Solve for x
    x = 14,142,858,314.06/76,625.25
  6. Step 6: Final answer
    x = 184,571.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.