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Finding the Third Proportional to 120,169.50 and 188,503.50

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Solution

The third proportional to 120,169.50 and 188,503.50 is: 295,695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,169.50 : 188,503.50 = 188,503.50 : x
  2. Step 2: Convert to fraction form
    120,169.50/188,503.50 = 188,503.50/x
  3. Step 3: Cross multiply
    120,169.50x = 188,503.50 × 188,503.50
  4. Step 4: Simplify right side
    120,169.50x = 35,533,569,512.25
  5. Step 5: Solve for x
    x = 35,533,569,512.25/120,169.50
  6. Step 6: Final answer
    x = 295,695.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.