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Finding the Third Proportional to 68,128 and 105,734

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Solution

The third proportional to 68,128 and 105,734 is: 164,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,128 : 105,734 = 105,734 : x
  2. Step 2: Convert to fraction form
    68,128/105,734 = 105,734/x
  3. Step 3: Cross multiply
    68,128x = 105,734 × 105,734
  4. Step 4: Simplify right side
    68,128x = 11,179,678,756
  5. Step 5: Solve for x
    x = 11,179,678,756/68,128
  6. Step 6: Final answer
    x = 164,098.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.