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Finding the Third Proportional to 123,990 and 270,094

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Solution

The third proportional to 123,990 and 270,094 is: 588,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,990 : 270,094 = 270,094 : x
  2. Step 2: Convert to fraction form
    123,990/270,094 = 270,094/x
  3. Step 3: Cross multiply
    123,990x = 270,094 × 270,094
  4. Step 4: Simplify right side
    123,990x = 72,950,768,836
  5. Step 5: Solve for x
    x = 72,950,768,836/123,990
  6. Step 6: Final answer
    x = 588,360.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.