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Finding the Third Proportional to 83,540 and 127,956

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Solution

The third proportional to 83,540 and 127,956 is: 195,986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,540 : 127,956 = 127,956 : x
  2. Step 2: Convert to fraction form
    83,540/127,956 = 127,956/x
  3. Step 3: Cross multiply
    83,540x = 127,956 × 127,956
  4. Step 4: Simplify right side
    83,540x = 16,372,737,936
  5. Step 5: Solve for x
    x = 16,372,737,936/83,540
  6. Step 6: Final answer
    x = 195,986.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.