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Finding the Third Proportional to 103,380.75 and 155,112.75

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Solution

The third proportional to 103,380.75 and 155,112.75 is: 232,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,380.75 : 155,112.75 = 155,112.75 : x
  2. Step 2: Convert to fraction form
    103,380.75/155,112.75 = 155,112.75/x
  3. Step 3: Cross multiply
    103,380.75x = 155,112.75 × 155,112.75
  4. Step 4: Simplify right side
    103,380.75x = 24,059,965,212.56
  5. Step 5: Solve for x
    x = 24,059,965,212.56/103,380.75
  6. Step 6: Final answer
    x = 232,731.58

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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.