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Finding the Third Proportional to 41,736 and 74,224

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Solution

The third proportional to 41,736 and 74,224 is: 132,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,736 : 74,224 = 74,224 : x
  2. Step 2: Convert to fraction form
    41,736/74,224 = 74,224/x
  3. Step 3: Cross multiply
    41,736x = 74,224 × 74,224
  4. Step 4: Simplify right side
    41,736x = 5,509,202,176
  5. Step 5: Solve for x
    x = 5,509,202,176/41,736
  6. Step 6: Final answer
    x = 132,001.20

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.