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Finding the Third Proportional to 96,734 and 149,474

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Solution

The third proportional to 96,734 and 149,474 is: 230,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,734 : 149,474 = 149,474 : x
  2. Step 2: Convert to fraction form
    96,734/149,474 = 149,474/x
  3. Step 3: Cross multiply
    96,734x = 149,474 × 149,474
  4. Step 4: Simplify right side
    96,734x = 22,342,476,676
  5. Step 5: Solve for x
    x = 22,342,476,676/96,734
  6. Step 6: Final answer
    x = 230,968.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.