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Finding the Third Proportional to 36,103.50 and 84,355.50

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Solution

The third proportional to 36,103.50 and 84,355.50 is: 197,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,103.50 : 84,355.50 = 84,355.50 : x
  2. Step 2: Convert to fraction form
    36,103.50/84,355.50 = 84,355.50/x
  3. Step 3: Cross multiply
    36,103.50x = 84,355.50 × 84,355.50
  4. Step 4: Simplify right side
    36,103.50x = 7,115,850,380.25
  5. Step 5: Solve for x
    x = 7,115,850,380.25/36,103.50
  6. Step 6: Final answer
    x = 197,095.86

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.