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Finding the Third Proportional to 40,717 and 89,606

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Solution

The third proportional to 40,717 and 89,606 is: 197,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,717 : 89,606 = 89,606 : x
  2. Step 2: Convert to fraction form
    40,717/89,606 = 89,606/x
  3. Step 3: Cross multiply
    40,717x = 89,606 × 89,606
  4. Step 4: Simplify right side
    40,717x = 8,029,235,236
  5. Step 5: Solve for x
    x = 8,029,235,236/40,717
  6. Step 6: Final answer
    x = 197,196.14

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Why These Related Problems?

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