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Finding the Third Proportional to 26,138 and 54,706

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Solution

The third proportional to 26,138 and 54,706 is: 114,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138 : 54,706 = 54,706 : x
  2. Step 2: Convert to fraction form
    26,138/54,706 = 54,706/x
  3. Step 3: Cross multiply
    26,138x = 54,706 × 54,706
  4. Step 4: Simplify right side
    26,138x = 2,992,746,436
  5. Step 5: Solve for x
    x = 2,992,746,436/26,138
  6. Step 6: Final answer
    x = 114,497.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.