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Finding the Third Proportional to 68,062 and 144,223

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Solution

The third proportional to 68,062 and 144,223 is: 305,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,062 : 144,223 = 144,223 : x
  2. Step 2: Convert to fraction form
    68,062/144,223 = 144,223/x
  3. Step 3: Cross multiply
    68,062x = 144,223 × 144,223
  4. Step 4: Simplify right side
    68,062x = 20,800,273,729
  5. Step 5: Solve for x
    x = 20,800,273,729/68,062
  6. Step 6: Final answer
    x = 305,607.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.