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Finding the Third Proportional to 104,076.56 and 155,690.44

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Solution

The third proportional to 104,076.56 and 155,690.44 is: 232,900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,076.56 : 155,690.44 = 155,690.44 : x
  2. Step 2: Convert to fraction form
    104,076.56/155,690.44 = 155,690.44/x
  3. Step 3: Cross multiply
    104,076.56x = 155,690.44 × 155,690.44
  4. Step 4: Simplify right side
    104,076.56x = 24,239,512,328.94
  5. Step 5: Solve for x
    x = 24,239,512,328.94/104,076.56
  6. Step 6: Final answer
    x = 232,900.78

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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.