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Finding the Third Proportional to 26,207 and 55,372

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Solution

The third proportional to 26,207 and 55,372 is: 116,993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,207 : 55,372 = 55,372 : x
  2. Step 2: Convert to fraction form
    26,207/55,372 = 55,372/x
  3. Step 3: Cross multiply
    26,207x = 55,372 × 55,372
  4. Step 4: Simplify right side
    26,207x = 3,066,058,384
  5. Step 5: Solve for x
    x = 3,066,058,384/26,207
  6. Step 6: Final answer
    x = 116,993.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.