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Finding the Third Proportional to 91,845 and 140,503.50

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Solution

The third proportional to 91,845 and 140,503.50 is: 214,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,845 : 140,503.50 = 140,503.50 : x
  2. Step 2: Convert to fraction form
    91,845/140,503.50 = 140,503.50/x
  3. Step 3: Cross multiply
    91,845x = 140,503.50 × 140,503.50
  4. Step 4: Simplify right side
    91,845x = 19,741,233,512.25
  5. Step 5: Solve for x
    x = 19,741,233,512.25/91,845
  6. Step 6: Final answer
    x = 214,940.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.