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Finding the Third Proportional to 118,530 and 180,098

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Solution

The third proportional to 118,530 and 180,098 is: 273,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,530 : 180,098 = 180,098 : x
  2. Step 2: Convert to fraction form
    118,530/180,098 = 180,098/x
  3. Step 3: Cross multiply
    118,530x = 180,098 × 180,098
  4. Step 4: Simplify right side
    118,530x = 32,435,289,604
  5. Step 5: Solve for x
    x = 32,435,289,604/118,530
  6. Step 6: Final answer
    x = 273,646.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.