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Finding the Third Proportional to 46,414 and 74,734

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Solution

The third proportional to 46,414 and 74,734 is: 120,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,414 : 74,734 = 74,734 : x
  2. Step 2: Convert to fraction form
    46,414/74,734 = 74,734/x
  3. Step 3: Cross multiply
    46,414x = 74,734 × 74,734
  4. Step 4: Simplify right side
    46,414x = 5,585,170,756
  5. Step 5: Solve for x
    x = 5,585,170,756/46,414
  6. Step 6: Final answer
    x = 120,333.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.