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Finding the Third Proportional to 41,818 and 89,390

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Solution

The third proportional to 41,818 and 89,390 is: 191,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,818 : 89,390 = 89,390 : x
  2. Step 2: Convert to fraction form
    41,818/89,390 = 89,390/x
  3. Step 3: Cross multiply
    41,818x = 89,390 × 89,390
  4. Step 4: Simplify right side
    41,818x = 7,990,572,100
  5. Step 5: Solve for x
    x = 7,990,572,100/41,818
  6. Step 6: Final answer
    x = 191,079.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.