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Finding the Third Proportional to 68,048 and 147,049

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Solution

The third proportional to 68,048 and 147,049 is: 317,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,048 : 147,049 = 147,049 : x
  2. Step 2: Convert to fraction form
    68,048/147,049 = 147,049/x
  3. Step 3: Cross multiply
    68,048x = 147,049 × 147,049
  4. Step 4: Simplify right side
    68,048x = 21,623,408,401
  5. Step 5: Solve for x
    x = 21,623,408,401/68,048
  6. Step 6: Final answer
    x = 317,766.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.