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Finding the Third Proportional to 118,968 and 184,489.50

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Solution

The third proportional to 118,968 and 184,489.50 is: 286,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,968 : 184,489.50 = 184,489.50 : x
  2. Step 2: Convert to fraction form
    118,968/184,489.50 = 184,489.50/x
  3. Step 3: Cross multiply
    118,968x = 184,489.50 × 184,489.50
  4. Step 4: Simplify right side
    118,968x = 34,036,375,610.25
  5. Step 5: Solve for x
    x = 34,036,375,610.25/118,968
  6. Step 6: Final answer
    x = 286,096.90

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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.