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Finding the Third Proportional to 127,544.25 and 184,375.50

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Solution

The third proportional to 127,544.25 and 184,375.50 is: 266,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,544.25 : 184,375.50 = 184,375.50 : x
  2. Step 2: Convert to fraction form
    127,544.25/184,375.50 = 184,375.50/x
  3. Step 3: Cross multiply
    127,544.25x = 184,375.50 × 184,375.50
  4. Step 4: Simplify right side
    127,544.25x = 33,994,325,000.25
  5. Step 5: Solve for x
    x = 33,994,325,000.25/127,544.25
  6. Step 6: Final answer
    x = 266,529.66

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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.