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Finding the Third Proportional to 68,211 and 105,233

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Solution

The third proportional to 68,211 and 105,233 is: 162,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,211 : 105,233 = 105,233 : x
  2. Step 2: Convert to fraction form
    68,211/105,233 = 105,233/x
  3. Step 3: Cross multiply
    68,211x = 105,233 × 105,233
  4. Step 4: Simplify right side
    68,211x = 11,073,984,289
  5. Step 5: Solve for x
    x = 11,073,984,289/68,211
  6. Step 6: Final answer
    x = 162,348.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.