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Finding the Third Proportional to 91,958 and 140,608

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Solution

The third proportional to 91,958 and 140,608 is: 214,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,958 : 140,608 = 140,608 : x
  2. Step 2: Convert to fraction form
    91,958/140,608 = 140,608/x
  3. Step 3: Cross multiply
    91,958x = 140,608 × 140,608
  4. Step 4: Simplify right side
    91,958x = 19,770,609,664
  5. Step 5: Solve for x
    x = 19,770,609,664/91,958
  6. Step 6: Final answer
    x = 214,996.08

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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.