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Finding the Third Proportional to 74,443 and 162,274

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Solution

The third proportional to 74,443 and 162,274 is: 353,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,443 : 162,274 = 162,274 : x
  2. Step 2: Convert to fraction form
    74,443/162,274 = 162,274/x
  3. Step 3: Cross multiply
    74,443x = 162,274 × 162,274
  4. Step 4: Simplify right side
    74,443x = 26,332,851,076
  5. Step 5: Solve for x
    x = 26,332,851,076/74,443
  6. Step 6: Final answer
    x = 353,731.73

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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.