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Finding the Third Proportional to 48,286 and 76,834

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Solution

The third proportional to 48,286 and 76,834 is: 122,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,286 : 76,834 = 76,834 : x
  2. Step 2: Convert to fraction form
    48,286/76,834 = 76,834/x
  3. Step 3: Cross multiply
    48,286x = 76,834 × 76,834
  4. Step 4: Simplify right side
    48,286x = 5,903,463,556
  5. Step 5: Solve for x
    x = 5,903,463,556/48,286
  6. Step 6: Final answer
    x = 122,260.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.