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Finding the Third Proportional to 89,921 and 192,964

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Solution

The third proportional to 89,921 and 192,964 is: 414,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,921 : 192,964 = 192,964 : x
  2. Step 2: Convert to fraction form
    89,921/192,964 = 192,964/x
  3. Step 3: Cross multiply
    89,921x = 192,964 × 192,964
  4. Step 4: Simplify right side
    89,921x = 37,235,105,296
  5. Step 5: Solve for x
    x = 37,235,105,296/89,921
  6. Step 6: Final answer
    x = 414,086.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.