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Finding the Third Proportional to 67,056 and 139,622

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Solution

The third proportional to 67,056 and 139,622 is: 290,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,056 : 139,622 = 139,622 : x
  2. Step 2: Convert to fraction form
    67,056/139,622 = 139,622/x
  3. Step 3: Cross multiply
    67,056x = 139,622 × 139,622
  4. Step 4: Simplify right side
    67,056x = 19,494,302,884
  5. Step 5: Solve for x
    x = 19,494,302,884/67,056
  6. Step 6: Final answer
    x = 290,716.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.