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Finding the Third Proportional to 53,728 and 80,796

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Solution

The third proportional to 53,728 and 80,796 is: 121,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,728 : 80,796 = 80,796 : x
  2. Step 2: Convert to fraction form
    53,728/80,796 = 80,796/x
  3. Step 3: Cross multiply
    53,728x = 80,796 × 80,796
  4. Step 4: Simplify right side
    53,728x = 6,527,993,616
  5. Step 5: Solve for x
    x = 6,527,993,616/53,728
  6. Step 6: Final answer
    x = 121,500.77

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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.