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Finding the Third Proportional to 45,214 and 68,873

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Solution

The third proportional to 45,214 and 68,873 is: 104,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,214 : 68,873 = 68,873 : x
  2. Step 2: Convert to fraction form
    45,214/68,873 = 68,873/x
  3. Step 3: Cross multiply
    45,214x = 68,873 × 68,873
  4. Step 4: Simplify right side
    45,214x = 4,743,490,129
  5. Step 5: Solve for x
    x = 4,743,490,129/45,214
  6. Step 6: Final answer
    x = 104,911.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.