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Finding the Third Proportional to 26,078 and 56,087

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Solution

The third proportional to 26,078 and 56,087 is: 120,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,078 : 56,087 = 56,087 : x
  2. Step 2: Convert to fraction form
    26,078/56,087 = 56,087/x
  3. Step 3: Cross multiply
    26,078x = 56,087 × 56,087
  4. Step 4: Simplify right side
    26,078x = 3,145,751,569
  5. Step 5: Solve for x
    x = 3,145,751,569/26,078
  6. Step 6: Final answer
    x = 120,628.56

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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.