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Finding the Third Proportional to 59,522 and 80,796

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Solution

The third proportional to 59,522 and 80,796 is: 109,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,522 : 80,796 = 80,796 : x
  2. Step 2: Convert to fraction form
    59,522/80,796 = 80,796/x
  3. Step 3: Cross multiply
    59,522x = 80,796 × 80,796
  4. Step 4: Simplify right side
    59,522x = 6,527,993,616
  5. Step 5: Solve for x
    x = 6,527,993,616/59,522
  6. Step 6: Final answer
    x = 109,673.63

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.