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Finding the Third Proportional to 100,676 and 159,942

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Solution

The third proportional to 100,676 and 159,942 is: 254,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,676 : 159,942 = 159,942 : x
  2. Step 2: Convert to fraction form
    100,676/159,942 = 159,942/x
  3. Step 3: Cross multiply
    100,676x = 159,942 × 159,942
  4. Step 4: Simplify right side
    100,676x = 25,581,443,364
  5. Step 5: Solve for x
    x = 25,581,443,364/100,676
  6. Step 6: Final answer
    x = 254,096.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.