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Finding the Third Proportional to 50,322 and 102,829

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Solution

The third proportional to 50,322 and 102,829 is: 210,122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,322 : 102,829 = 102,829 : x
  2. Step 2: Convert to fraction form
    50,322/102,829 = 102,829/x
  3. Step 3: Cross multiply
    50,322x = 102,829 × 102,829
  4. Step 4: Simplify right side
    50,322x = 10,573,803,241
  5. Step 5: Solve for x
    x = 10,573,803,241/50,322
  6. Step 6: Final answer
    x = 210,122.87

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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.