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Finding the Third Proportional to 40,998 and 89,104

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Solution

The third proportional to 40,998 and 89,104 is: 193,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,998 : 89,104 = 89,104 : x
  2. Step 2: Convert to fraction form
    40,998/89,104 = 89,104/x
  3. Step 3: Cross multiply
    40,998x = 89,104 × 89,104
  4. Step 4: Simplify right side
    40,998x = 7,939,522,816
  5. Step 5: Solve for x
    x = 7,939,522,816/40,998
  6. Step 6: Final answer
    x = 193,656.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.