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Finding the Third Proportional to 68,108 and 102,255

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Solution

The third proportional to 68,108 and 102,255 is: 153,522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,108 : 102,255 = 102,255 : x
  2. Step 2: Convert to fraction form
    68,108/102,255 = 102,255/x
  3. Step 3: Cross multiply
    68,108x = 102,255 × 102,255
  4. Step 4: Simplify right side
    68,108x = 10,456,085,025
  5. Step 5: Solve for x
    x = 10,456,085,025/68,108
  6. Step 6: Final answer
    x = 153,522.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.