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Finding the Third Proportional to 91,940 and 140,582

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Solution

The third proportional to 91,940 and 140,582 is: 214,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,940 : 140,582 = 140,582 : x
  2. Step 2: Convert to fraction form
    91,940/140,582 = 140,582/x
  3. Step 3: Cross multiply
    91,940x = 140,582 × 140,582
  4. Step 4: Simplify right side
    91,940x = 19,763,298,724
  5. Step 5: Solve for x
    x = 19,763,298,724/91,940
  6. Step 6: Final answer
    x = 214,958.65

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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.