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Finding the Third Proportional to 72,038 and 167,474

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Solution

The third proportional to 72,038 and 167,474 is: 389,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,038 : 167,474 = 167,474 : x
  2. Step 2: Convert to fraction form
    72,038/167,474 = 167,474/x
  3. Step 3: Cross multiply
    72,038x = 167,474 × 167,474
  4. Step 4: Simplify right side
    72,038x = 28,047,540,676
  5. Step 5: Solve for x
    x = 28,047,540,676/72,038
  6. Step 6: Final answer
    x = 389,343.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.