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Finding the Third Proportional to 90,780.75 and 185,571

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Solution

The third proportional to 90,780.75 and 185,571 is: 379,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,780.75 : 185,571 = 185,571 : x
  2. Step 2: Convert to fraction form
    90,780.75/185,571 = 185,571/x
  3. Step 3: Cross multiply
    90,780.75x = 185,571 × 185,571
  4. Step 4: Simplify right side
    90,780.75x = 34,436,596,041
  5. Step 5: Solve for x
    x = 34,436,596,041/90,780.75
  6. Step 6: Final answer
    x = 379,338.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.