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Finding the Third Proportional to 40,570 and 89,131

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Solution

The third proportional to 40,570 and 89,131 is: 195,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,570 : 89,131 = 89,131 : x
  2. Step 2: Convert to fraction form
    40,570/89,131 = 89,131/x
  3. Step 3: Cross multiply
    40,570x = 89,131 × 89,131
  4. Step 4: Simplify right side
    40,570x = 7,944,335,161
  5. Step 5: Solve for x
    x = 7,944,335,161/40,570
  6. Step 6: Final answer
    x = 195,817.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.