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Finding the Third Proportional to 57,183 and 118,263

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Solution

The third proportional to 57,183 and 118,263 is: 244,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,183 : 118,263 = 118,263 : x
  2. Step 2: Convert to fraction form
    57,183/118,263 = 118,263/x
  3. Step 3: Cross multiply
    57,183x = 118,263 × 118,263
  4. Step 4: Simplify right side
    57,183x = 13,986,137,169
  5. Step 5: Solve for x
    x = 13,986,137,169/57,183
  6. Step 6: Final answer
    x = 244,585.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.