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Finding the Third Proportional to 90,120 and 193,479

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Solution

The third proportional to 90,120 and 193,479 is: 415,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,120 : 193,479 = 193,479 : x
  2. Step 2: Convert to fraction form
    90,120/193,479 = 193,479/x
  3. Step 3: Cross multiply
    90,120x = 193,479 × 193,479
  4. Step 4: Simplify right side
    90,120x = 37,434,123,441
  5. Step 5: Solve for x
    x = 37,434,123,441/90,120
  6. Step 6: Final answer
    x = 415,380.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.