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Finding the Third Proportional to 111,512 and 245,162

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Solution

The third proportional to 111,512 and 245,162 is: 538,994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,512 : 245,162 = 245,162 : x
  2. Step 2: Convert to fraction form
    111,512/245,162 = 245,162/x
  3. Step 3: Cross multiply
    111,512x = 245,162 × 245,162
  4. Step 4: Simplify right side
    111,512x = 60,104,406,244
  5. Step 5: Solve for x
    x = 60,104,406,244/111,512
  6. Step 6: Final answer
    x = 538,994.96

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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.