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Finding the Third Proportional to 65,048 and 139,968

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Solution

The third proportional to 65,048 and 139,968 is: 301,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,048 : 139,968 = 139,968 : x
  2. Step 2: Convert to fraction form
    65,048/139,968 = 139,968/x
  3. Step 3: Cross multiply
    65,048x = 139,968 × 139,968
  4. Step 4: Simplify right side
    65,048x = 19,591,041,024
  5. Step 5: Solve for x
    x = 19,591,041,024/65,048
  6. Step 6: Final answer
    x = 301,178.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.