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Finding the Third Proportional to 92,605.50 and 140,906.25

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Solution

The third proportional to 92,605.50 and 140,906.25 is: 214,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,605.50 : 140,906.25 = 140,906.25 : x
  2. Step 2: Convert to fraction form
    92,605.50/140,906.25 = 140,906.25/x
  3. Step 3: Cross multiply
    92,605.50x = 140,906.25 × 140,906.25
  4. Step 4: Simplify right side
    92,605.50x = 19,854,571,289.06
  5. Step 5: Solve for x
    x = 19,854,571,289.06/92,605.50
  6. Step 6: Final answer
    x = 214,399.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.