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Finding the Third Proportional to 50,522.06 and 84,199.50

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Solution

The third proportional to 50,522.06 and 84,199.50 is: 140,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,522.06 : 84,199.50 = 84,199.50 : x
  2. Step 2: Convert to fraction form
    50,522.06/84,199.50 = 84,199.50/x
  3. Step 3: Cross multiply
    50,522.06x = 84,199.50 × 84,199.50
  4. Step 4: Simplify right side
    50,522.06x = 7,089,555,800.25
  5. Step 5: Solve for x
    x = 7,089,555,800.25/50,522.06
  6. Step 6: Final answer
    x = 140,325.94

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.