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Finding the Third Proportional to 62,664 and 136,761

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Solution

The third proportional to 62,664 and 136,761 is: 298,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,664 : 136,761 = 136,761 : x
  2. Step 2: Convert to fraction form
    62,664/136,761 = 136,761/x
  3. Step 3: Cross multiply
    62,664x = 136,761 × 136,761
  4. Step 4: Simplify right side
    62,664x = 18,703,571,121
  5. Step 5: Solve for x
    x = 18,703,571,121/62,664
  6. Step 6: Final answer
    x = 298,473.94

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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.