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Finding the Third Proportional to 123,364 and 195,150

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Solution

The third proportional to 123,364 and 195,150 is: 308,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,364 : 195,150 = 195,150 : x
  2. Step 2: Convert to fraction form
    123,364/195,150 = 195,150/x
  3. Step 3: Cross multiply
    123,364x = 195,150 × 195,150
  4. Step 4: Simplify right side
    123,364x = 38,083,522,500
  5. Step 5: Solve for x
    x = 38,083,522,500/123,364
  6. Step 6: Final answer
    x = 308,708.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.