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Finding the Third Proportional to 68,476 and 138,834

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Solution

The third proportional to 68,476 and 138,834 is: 281,483.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,476 : 138,834 = 138,834 : x
  2. Step 2: Convert to fraction form
    68,476/138,834 = 138,834/x
  3. Step 3: Cross multiply
    68,476x = 138,834 × 138,834
  4. Step 4: Simplify right side
    68,476x = 19,274,879,556
  5. Step 5: Solve for x
    x = 19,274,879,556/68,476
  6. Step 6: Final answer
    x = 281,483.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.