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Finding the Third Proportional to 40,268 and 60,306

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Solution

The third proportional to 40,268 and 60,306 is: 90,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,268 : 60,306 = 60,306 : x
  2. Step 2: Convert to fraction form
    40,268/60,306 = 60,306/x
  3. Step 3: Cross multiply
    40,268x = 60,306 × 60,306
  4. Step 4: Simplify right side
    40,268x = 3,636,813,636
  5. Step 5: Solve for x
    x = 3,636,813,636/40,268
  6. Step 6: Final answer
    x = 90,315.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.