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Finding the Third Proportional to 68,302 and 139,976

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Solution

The third proportional to 68,302 and 139,976 is: 286,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,302 : 139,976 = 139,976 : x
  2. Step 2: Convert to fraction form
    68,302/139,976 = 139,976/x
  3. Step 3: Cross multiply
    68,302x = 139,976 × 139,976
  4. Step 4: Simplify right side
    68,302x = 19,593,280,576
  5. Step 5: Solve for x
    x = 19,593,280,576/68,302
  6. Step 6: Final answer
    x = 286,862.47

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.