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Finding the Third Proportional to 91,955 and 140,605

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Solution

The third proportional to 91,955 and 140,605 is: 214,993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,955 : 140,605 = 140,605 : x
  2. Step 2: Convert to fraction form
    91,955/140,605 = 140,605/x
  3. Step 3: Cross multiply
    91,955x = 140,605 × 140,605
  4. Step 4: Simplify right side
    91,955x = 19,769,766,025
  5. Step 5: Solve for x
    x = 19,769,766,025/91,955
  6. Step 6: Final answer
    x = 214,993.92

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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.