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Finding the Third Proportional to 41,008 and 89,125

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Solution

The third proportional to 41,008 and 89,125 is: 193,700.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,008 : 89,125 = 89,125 : x
  2. Step 2: Convert to fraction form
    41,008/89,125 = 89,125/x
  3. Step 3: Cross multiply
    41,008x = 89,125 × 89,125
  4. Step 4: Simplify right side
    41,008x = 7,943,265,625
  5. Step 5: Solve for x
    x = 7,943,265,625/41,008
  6. Step 6: Final answer
    x = 193,700.39

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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.