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Finding the Third Proportional to 118,242 and 178,591.50

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Solution

The third proportional to 118,242 and 178,591.50 is: 269,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,242 : 178,591.50 = 178,591.50 : x
  2. Step 2: Convert to fraction form
    118,242/178,591.50 = 178,591.50/x
  3. Step 3: Cross multiply
    118,242x = 178,591.50 × 178,591.50
  4. Step 4: Simplify right side
    118,242x = 31,894,923,872.25
  5. Step 5: Solve for x
    x = 31,894,923,872.25/118,242
  6. Step 6: Final answer
    x = 269,742.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.