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Finding the Third Proportional to 65,990 and 139,405

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Solution

The third proportional to 65,990 and 139,405 is: 294,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,990 : 139,405 = 139,405 : x
  2. Step 2: Convert to fraction form
    65,990/139,405 = 139,405/x
  3. Step 3: Cross multiply
    65,990x = 139,405 × 139,405
  4. Step 4: Simplify right side
    65,990x = 19,433,754,025
  5. Step 5: Solve for x
    x = 19,433,754,025/65,990
  6. Step 6: Final answer
    x = 294,495.44

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.