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Finding the Third Proportional to 50,635 and 81,353

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Solution

The third proportional to 50,635 and 81,353 is: 130,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,635 : 81,353 = 81,353 : x
  2. Step 2: Convert to fraction form
    50,635/81,353 = 81,353/x
  3. Step 3: Cross multiply
    50,635x = 81,353 × 81,353
  4. Step 4: Simplify right side
    50,635x = 6,618,310,609
  5. Step 5: Solve for x
    x = 6,618,310,609/50,635
  6. Step 6: Final answer
    x = 130,706.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.