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Finding the Third Proportional to 63,769 and 80,855

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Solution

The third proportional to 63,769 and 80,855 is: 102,518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,769 : 80,855 = 80,855 : x
  2. Step 2: Convert to fraction form
    63,769/80,855 = 80,855/x
  3. Step 3: Cross multiply
    63,769x = 80,855 × 80,855
  4. Step 4: Simplify right side
    63,769x = 6,537,531,025
  5. Step 5: Solve for x
    x = 6,537,531,025/63,769
  6. Step 6: Final answer
    x = 102,518.95

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