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Finding the Third Proportional to 26,106 and 50,898

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Solution

The third proportional to 26,106 and 50,898 is: 99,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,106 : 50,898 = 50,898 : x
  2. Step 2: Convert to fraction form
    26,106/50,898 = 50,898/x
  3. Step 3: Cross multiply
    26,106x = 50,898 × 50,898
  4. Step 4: Simplify right side
    26,106x = 2,590,606,404
  5. Step 5: Solve for x
    x = 2,590,606,404/26,106
  6. Step 6: Final answer
    x = 99,234.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.