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Finding the Third Proportional to 41,230 and 88,975

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Solution

The third proportional to 41,230 and 88,975 is: 192,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,230 : 88,975 = 88,975 : x
  2. Step 2: Convert to fraction form
    41,230/88,975 = 88,975/x
  3. Step 3: Cross multiply
    41,230x = 88,975 × 88,975
  4. Step 4: Simplify right side
    41,230x = 7,916,550,625
  5. Step 5: Solve for x
    x = 7,916,550,625/41,230
  6. Step 6: Final answer
    x = 192,009.47

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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.