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Finding the Third Proportional to 72,682 and 147,325

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Solution

The third proportional to 72,682 and 147,325 is: 298,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,682 : 147,325 = 147,325 : x
  2. Step 2: Convert to fraction form
    72,682/147,325 = 147,325/x
  3. Step 3: Cross multiply
    72,682x = 147,325 × 147,325
  4. Step 4: Simplify right side
    72,682x = 21,704,655,625
  5. Step 5: Solve for x
    x = 21,704,655,625/72,682
  6. Step 6: Final answer
    x = 298,624.91

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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.