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Finding the Third Proportional to 26,934 and 55,206

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Solution

The third proportional to 26,934 and 55,206 is: 113,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,934 : 55,206 = 55,206 : x
  2. Step 2: Convert to fraction form
    26,934/55,206 = 55,206/x
  3. Step 3: Cross multiply
    26,934x = 55,206 × 55,206
  4. Step 4: Simplify right side
    26,934x = 3,047,702,436
  5. Step 5: Solve for x
    x = 3,047,702,436/26,934
  6. Step 6: Final answer
    x = 113,154.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.