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Finding the Third Proportional to 45,458 and 68,223

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Solution

The third proportional to 45,458 and 68,223 is: 102,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,458 : 68,223 = 68,223 : x
  2. Step 2: Convert to fraction form
    45,458/68,223 = 68,223/x
  3. Step 3: Cross multiply
    45,458x = 68,223 × 68,223
  4. Step 4: Simplify right side
    45,458x = 4,654,377,729
  5. Step 5: Solve for x
    x = 4,654,377,729/45,458
  6. Step 6: Final answer
    x = 102,388.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.