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Finding the Third Proportional to 62,573 and 136,162

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Solution

The third proportional to 62,573 and 136,162 is: 296,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,573 : 136,162 = 136,162 : x
  2. Step 2: Convert to fraction form
    62,573/136,162 = 136,162/x
  3. Step 3: Cross multiply
    62,573x = 136,162 × 136,162
  4. Step 4: Simplify right side
    62,573x = 18,540,090,244
  5. Step 5: Solve for x
    x = 18,540,090,244/62,573
  6. Step 6: Final answer
    x = 296,295.37

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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.