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Finding the Third Proportional to 120,982.50 and 188,100

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Solution

The third proportional to 120,982.50 and 188,100 is: 292,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,982.50 : 188,100 = 188,100 : x
  2. Step 2: Convert to fraction form
    120,982.50/188,100 = 188,100/x
  3. Step 3: Cross multiply
    120,982.50x = 188,100 × 188,100
  4. Step 4: Simplify right side
    120,982.50x = 35,381,610,000
  5. Step 5: Solve for x
    x = 35,381,610,000/120,982.50
  6. Step 6: Final answer
    x = 292,452.30

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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.