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Finding the Third Proportional to 118,524.75 and 180,091.50

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Solution

The third proportional to 118,524.75 and 180,091.50 is: 273,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,524.75 : 180,091.50 = 180,091.50 : x
  2. Step 2: Convert to fraction form
    118,524.75/180,091.50 = 180,091.50/x
  3. Step 3: Cross multiply
    118,524.75x = 180,091.50 × 180,091.50
  4. Step 4: Simplify right side
    118,524.75x = 32,432,948,372.25
  5. Step 5: Solve for x
    x = 32,432,948,372.25/118,524.75
  6. Step 6: Final answer
    x = 273,638.61

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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.