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Finding the Third Proportional to 111,143 and 239,662

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Solution

The third proportional to 111,143 and 239,662 is: 516,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,143 : 239,662 = 239,662 : x
  2. Step 2: Convert to fraction form
    111,143/239,662 = 239,662/x
  3. Step 3: Cross multiply
    111,143x = 239,662 × 239,662
  4. Step 4: Simplify right side
    111,143x = 57,437,874,244
  5. Step 5: Solve for x
    x = 57,437,874,244/111,143
  6. Step 6: Final answer
    x = 516,792.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.