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Finding the Third Proportional to 91,958.50 and 140,611

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Solution

The third proportional to 91,958.50 and 140,611 is: 215,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,958.50 : 140,611 = 140,611 : x
  2. Step 2: Convert to fraction form
    91,958.50/140,611 = 140,611/x
  3. Step 3: Cross multiply
    91,958.50x = 140,611 × 140,611
  4. Step 4: Simplify right side
    91,958.50x = 19,771,453,321
  5. Step 5: Solve for x
    x = 19,771,453,321/91,958.50
  6. Step 6: Final answer
    x = 215,004.09

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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.