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Finding the Third Proportional to 68,002 and 124,826

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Solution

The third proportional to 68,002 and 124,826 is: 229,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,002 : 124,826 = 124,826 : x
  2. Step 2: Convert to fraction form
    68,002/124,826 = 124,826/x
  3. Step 3: Cross multiply
    68,002x = 124,826 × 124,826
  4. Step 4: Simplify right side
    68,002x = 15,581,530,276
  5. Step 5: Solve for x
    x = 15,581,530,276/68,002
  6. Step 6: Final answer
    x = 229,133.41

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.