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Finding the Third Proportional to 34,262 and 74,734

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Solution

The third proportional to 34,262 and 74,734 is: 163,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,262 : 74,734 = 74,734 : x
  2. Step 2: Convert to fraction form
    34,262/74,734 = 74,734/x
  3. Step 3: Cross multiply
    34,262x = 74,734 × 74,734
  4. Step 4: Simplify right side
    34,262x = 5,585,170,756
  5. Step 5: Solve for x
    x = 5,585,170,756/34,262
  6. Step 6: Final answer
    x = 163,013.56

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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.