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Finding the Third Proportional to 111,544 and 245,120

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Solution

The third proportional to 111,544 and 245,120 is: 538,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,544 : 245,120 = 245,120 : x
  2. Step 2: Convert to fraction form
    111,544/245,120 = 245,120/x
  3. Step 3: Cross multiply
    111,544x = 245,120 × 245,120
  4. Step 4: Simplify right side
    111,544x = 60,083,814,400
  5. Step 5: Solve for x
    x = 60,083,814,400/111,544
  6. Step 6: Final answer
    x = 538,655.73

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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.