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Finding the Third Proportional to 41,797 and 91,210

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Solution

The third proportional to 41,797 and 91,210 is: 199,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,797 : 91,210 = 91,210 : x
  2. Step 2: Convert to fraction form
    41,797/91,210 = 91,210/x
  3. Step 3: Cross multiply
    41,797x = 91,210 × 91,210
  4. Step 4: Simplify right side
    41,797x = 8,319,264,100
  5. Step 5: Solve for x
    x = 8,319,264,100/41,797
  6. Step 6: Final answer
    x = 199,039.74

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