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Finding the Third Proportional to 118,936 and 184,037.50

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Solution

The third proportional to 118,936 and 184,037.50 is: 284,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,936 : 184,037.50 = 184,037.50 : x
  2. Step 2: Convert to fraction form
    118,936/184,037.50 = 184,037.50/x
  3. Step 3: Cross multiply
    118,936x = 184,037.50 × 184,037.50
  4. Step 4: Simplify right side
    118,936x = 33,869,801,406.25
  5. Step 5: Solve for x
    x = 33,869,801,406.25/118,936
  6. Step 6: Final answer
    x = 284,773.34

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