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Finding the Third Proportional to 41,626 and 89,899

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Solution

The third proportional to 41,626 and 89,899 is: 194,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,626 : 89,899 = 89,899 : x
  2. Step 2: Convert to fraction form
    41,626/89,899 = 89,899/x
  3. Step 3: Cross multiply
    41,626x = 89,899 × 89,899
  4. Step 4: Simplify right side
    41,626x = 8,081,830,201
  5. Step 5: Solve for x
    x = 8,081,830,201/41,626
  6. Step 6: Final answer
    x = 194,153.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.