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Finding the Third Proportional to 62,746 and 136,183

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Solution

The third proportional to 62,746 and 136,183 is: 295,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,746 : 136,183 = 136,183 : x
  2. Step 2: Convert to fraction form
    62,746/136,183 = 136,183/x
  3. Step 3: Cross multiply
    62,746x = 136,183 × 136,183
  4. Step 4: Simplify right side
    62,746x = 18,545,809,489
  5. Step 5: Solve for x
    x = 18,545,809,489/62,746
  6. Step 6: Final answer
    x = 295,569.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.