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Finding the Third Proportional to 62,183 and 135,400

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Solution

The third proportional to 62,183 and 135,400 is: 294,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,183 : 135,400 = 135,400 : x
  2. Step 2: Convert to fraction form
    62,183/135,400 = 135,400/x
  3. Step 3: Cross multiply
    62,183x = 135,400 × 135,400
  4. Step 4: Simplify right side
    62,183x = 18,333,160,000
  5. Step 5: Solve for x
    x = 18,333,160,000/62,183
  6. Step 6: Final answer
    x = 294,825.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.