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Finding the Third Proportional to 48,773 and 104,823

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Solution

The third proportional to 48,773 and 104,823 is: 225,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,773 : 104,823 = 104,823 : x
  2. Step 2: Convert to fraction form
    48,773/104,823 = 104,823/x
  3. Step 3: Cross multiply
    48,773x = 104,823 × 104,823
  4. Step 4: Simplify right side
    48,773x = 10,987,861,329
  5. Step 5: Solve for x
    x = 10,987,861,329/48,773
  6. Step 6: Final answer
    x = 225,285.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.