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Finding the Third Proportional to 91,954 and 140,607

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Solution

The third proportional to 91,954 and 140,607 is: 215,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,954 : 140,607 = 140,607 : x
  2. Step 2: Convert to fraction form
    91,954/140,607 = 140,607/x
  3. Step 3: Cross multiply
    91,954x = 140,607 × 140,607
  4. Step 4: Simplify right side
    91,954x = 19,770,328,449
  5. Step 5: Solve for x
    x = 19,770,328,449/91,954
  6. Step 6: Final answer
    x = 215,002.38

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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.