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Finding the Third Proportional to 81,483 and 109,647

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Solution

The third proportional to 81,483 and 109,647 is: 147,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,483 : 109,647 = 109,647 : x
  2. Step 2: Convert to fraction form
    81,483/109,647 = 109,647/x
  3. Step 3: Cross multiply
    81,483x = 109,647 × 109,647
  4. Step 4: Simplify right side
    81,483x = 12,022,464,609
  5. Step 5: Solve for x
    x = 12,022,464,609/81,483
  6. Step 6: Final answer
    x = 147,545.68

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.