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Finding the Third Proportional to 40,224 and 81,526

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Solution

The third proportional to 40,224 and 81,526 is: 165,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,224 : 81,526 = 81,526 : x
  2. Step 2: Convert to fraction form
    40,224/81,526 = 81,526/x
  3. Step 3: Cross multiply
    40,224x = 81,526 × 81,526
  4. Step 4: Simplify right side
    40,224x = 6,646,488,676
  5. Step 5: Solve for x
    x = 6,646,488,676/40,224
  6. Step 6: Final answer
    x = 165,236.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.