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Finding the Third Proportional to 39,730.50 and 84,199.50

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Solution

The third proportional to 39,730.50 and 84,199.50 is: 178,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,730.50 : 84,199.50 = 84,199.50 : x
  2. Step 2: Convert to fraction form
    39,730.50/84,199.50 = 84,199.50/x
  3. Step 3: Cross multiply
    39,730.50x = 84,199.50 × 84,199.50
  4. Step 4: Simplify right side
    39,730.50x = 7,089,555,800.25
  5. Step 5: Solve for x
    x = 7,089,555,800.25/39,730.50
  6. Step 6: Final answer
    x = 178,441.14

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.