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Finding the Third Proportional to 68,233 and 100,399

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Solution

The third proportional to 68,233 and 100,399 is: 147,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,233 : 100,399 = 100,399 : x
  2. Step 2: Convert to fraction form
    68,233/100,399 = 100,399/x
  3. Step 3: Cross multiply
    68,233x = 100,399 × 100,399
  4. Step 4: Simplify right side
    68,233x = 10,079,959,201
  5. Step 5: Solve for x
    x = 10,079,959,201/68,233
  6. Step 6: Final answer
    x = 147,728.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.