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Finding the Third Proportional to 104,103 and 155,868.75

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Solution

The third proportional to 104,103 and 155,868.75 is: 233,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,103 : 155,868.75 = 155,868.75 : x
  2. Step 2: Convert to fraction form
    104,103/155,868.75 = 155,868.75/x
  3. Step 3: Cross multiply
    104,103x = 155,868.75 × 155,868.75
  4. Step 4: Simplify right side
    104,103x = 24,295,067,226.56
  5. Step 5: Solve for x
    x = 24,295,067,226.56/104,103
  6. Step 6: Final answer
    x = 233,375.28

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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.