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Finding the Third Proportional to 41,655 and 90,704

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Solution

The third proportional to 41,655 and 90,704 is: 197,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,655 : 90,704 = 90,704 : x
  2. Step 2: Convert to fraction form
    41,655/90,704 = 90,704/x
  3. Step 3: Cross multiply
    41,655x = 90,704 × 90,704
  4. Step 4: Simplify right side
    41,655x = 8,227,215,616
  5. Step 5: Solve for x
    x = 8,227,215,616/41,655
  6. Step 6: Final answer
    x = 197,508.48

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Why These Related Problems?

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