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Finding the Third Proportional to 41,678 and 90,006

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Solution

The third proportional to 41,678 and 90,006 is: 194,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,678 : 90,006 = 90,006 : x
  2. Step 2: Convert to fraction form
    41,678/90,006 = 90,006/x
  3. Step 3: Cross multiply
    41,678x = 90,006 × 90,006
  4. Step 4: Simplify right side
    41,678x = 8,101,080,036
  5. Step 5: Solve for x
    x = 8,101,080,036/41,678
  6. Step 6: Final answer
    x = 194,373.05

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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.