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Finding the Third Proportional to 41,200 and 90,008

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Solution

The third proportional to 41,200 and 90,008 is: 196,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,200 : 90,008 = 90,008 : x
  2. Step 2: Convert to fraction form
    41,200/90,008 = 90,008/x
  3. Step 3: Cross multiply
    41,200x = 90,008 × 90,008
  4. Step 4: Simplify right side
    41,200x = 8,101,440,064
  5. Step 5: Solve for x
    x = 8,101,440,064/41,200
  6. Step 6: Final answer
    x = 196,636.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.