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Finding the Third Proportional to 40,266 and 60,303

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Solution

The third proportional to 40,266 and 60,303 is: 90,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,266 : 60,303 = 60,303 : x
  2. Step 2: Convert to fraction form
    40,266/60,303 = 60,303/x
  3. Step 3: Cross multiply
    40,266x = 60,303 × 60,303
  4. Step 4: Simplify right side
    40,266x = 3,636,451,809
  5. Step 5: Solve for x
    x = 3,636,451,809/40,266
  6. Step 6: Final answer
    x = 90,310.73

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Why These Related Problems?

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