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Finding the Third Proportional to 100,462 and 155,679

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Solution

The third proportional to 100,462 and 155,679 is: 241,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,462 : 155,679 = 155,679 : x
  2. Step 2: Convert to fraction form
    100,462/155,679 = 155,679/x
  3. Step 3: Cross multiply
    100,462x = 155,679 × 155,679
  4. Step 4: Simplify right side
    100,462x = 24,235,951,041
  5. Step 5: Solve for x
    x = 24,235,951,041/100,462
  6. Step 6: Final answer
    x = 241,244.96

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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.