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Finding the Third Proportional to 35,096 and 75,811

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Solution

The third proportional to 35,096 and 75,811 is: 163,759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,096 : 75,811 = 75,811 : x
  2. Step 2: Convert to fraction form
    35,096/75,811 = 75,811/x
  3. Step 3: Cross multiply
    35,096x = 75,811 × 75,811
  4. Step 4: Simplify right side
    35,096x = 5,747,307,721
  5. Step 5: Solve for x
    x = 5,747,307,721/35,096
  6. Step 6: Final answer
    x = 163,759.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.