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Finding the Third Proportional to 26,104 and 55,901

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Solution

The third proportional to 26,104 and 55,901 is: 119,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,104 : 55,901 = 55,901 : x
  2. Step 2: Convert to fraction form
    26,104/55,901 = 55,901/x
  3. Step 3: Cross multiply
    26,104x = 55,901 × 55,901
  4. Step 4: Simplify right side
    26,104x = 3,124,921,801
  5. Step 5: Solve for x
    x = 3,124,921,801/26,104
  6. Step 6: Final answer
    x = 119,710.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.