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Finding the Third Proportional to 74,505 and 162,096

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Solution

The third proportional to 74,505 and 162,096 is: 352,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,505 : 162,096 = 162,096 : x
  2. Step 2: Convert to fraction form
    74,505/162,096 = 162,096/x
  3. Step 3: Cross multiply
    74,505x = 162,096 × 162,096
  4. Step 4: Simplify right side
    74,505x = 26,275,113,216
  5. Step 5: Solve for x
    x = 26,275,113,216/74,505
  6. Step 6: Final answer
    x = 352,662.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.