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Finding the Third Proportional to 40,139.75 and 88,225

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Solution

The third proportional to 40,139.75 and 88,225 is: 193,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,139.75 : 88,225 = 88,225 : x
  2. Step 2: Convert to fraction form
    40,139.75/88,225 = 88,225/x
  3. Step 3: Cross multiply
    40,139.75x = 88,225 × 88,225
  4. Step 4: Simplify right side
    40,139.75x = 7,783,650,625
  5. Step 5: Solve for x
    x = 7,783,650,625/40,139.75
  6. Step 6: Final answer
    x = 193,913.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.