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Finding the Third Proportional to 111,921 and 245,894

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Solution

The third proportional to 111,921 and 245,894 is: 540,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,921 : 245,894 = 245,894 : x
  2. Step 2: Convert to fraction form
    111,921/245,894 = 245,894/x
  3. Step 3: Cross multiply
    111,921x = 245,894 × 245,894
  4. Step 4: Simplify right side
    111,921x = 60,463,859,236
  5. Step 5: Solve for x
    x = 60,463,859,236/111,921
  6. Step 6: Final answer
    x = 540,236.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.