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Finding the Third Proportional to 50,331 and 102,846

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Solution

The third proportional to 50,331 and 102,846 is: 210,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,331 : 102,846 = 102,846 : x
  2. Step 2: Convert to fraction form
    50,331/102,846 = 102,846/x
  3. Step 3: Cross multiply
    50,331x = 102,846 × 102,846
  4. Step 4: Simplify right side
    50,331x = 10,577,299,716
  5. Step 5: Solve for x
    x = 10,577,299,716/50,331
  6. Step 6: Final answer
    x = 210,154.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.