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Finding the Third Proportional to 26,168 and 56,795

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Solution

The third proportional to 26,168 and 56,795 is: 123,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,168 : 56,795 = 56,795 : x
  2. Step 2: Convert to fraction form
    26,168/56,795 = 56,795/x
  3. Step 3: Cross multiply
    26,168x = 56,795 × 56,795
  4. Step 4: Simplify right side
    26,168x = 3,225,672,025
  5. Step 5: Solve for x
    x = 3,225,672,025/26,168
  6. Step 6: Final answer
    x = 123,267.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.