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Finding the Third Proportional to 63,766 and 80,851

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Solution

The third proportional to 63,766 and 80,851 is: 102,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,766 : 80,851 = 80,851 : x
  2. Step 2: Convert to fraction form
    63,766/80,851 = 80,851/x
  3. Step 3: Cross multiply
    63,766x = 80,851 × 80,851
  4. Step 4: Simplify right side
    63,766x = 6,536,884,201
  5. Step 5: Solve for x
    x = 6,536,884,201/63,766
  6. Step 6: Final answer
    x = 102,513.63

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.