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Finding the Third Proportional to 104,065.50 and 155,679

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Solution

The third proportional to 104,065.50 and 155,679 is: 232,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,065.50 : 155,679 = 155,679 : x
  2. Step 2: Convert to fraction form
    104,065.50/155,679 = 155,679/x
  3. Step 3: Cross multiply
    104,065.50x = 155,679 × 155,679
  4. Step 4: Simplify right side
    104,065.50x = 24,235,951,041
  5. Step 5: Solve for x
    x = 24,235,951,041/104,065.50
  6. Step 6: Final answer
    x = 232,891.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.