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Finding the Third Proportional to 41,562 and 91,125

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Solution

The third proportional to 41,562 and 91,125 is: 199,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,562 : 91,125 = 91,125 : x
  2. Step 2: Convert to fraction form
    41,562/91,125 = 91,125/x
  3. Step 3: Cross multiply
    41,562x = 91,125 × 91,125
  4. Step 4: Simplify right side
    41,562x = 8,303,765,625
  5. Step 5: Solve for x
    x = 8,303,765,625/41,562
  6. Step 6: Final answer
    x = 199,792.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.