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Finding the Third Proportional to 68,072 and 139,600

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Solution

The third proportional to 68,072 and 139,600 is: 286,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,072 : 139,600 = 139,600 : x
  2. Step 2: Convert to fraction form
    68,072/139,600 = 139,600/x
  3. Step 3: Cross multiply
    68,072x = 139,600 × 139,600
  4. Step 4: Simplify right side
    68,072x = 19,488,160,000
  5. Step 5: Solve for x
    x = 19,488,160,000/68,072
  6. Step 6: Final answer
    x = 286,287.46

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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.