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Finding the Third Proportional to 120,025 and 193,338

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Solution

The third proportional to 120,025 and 193,338 is: 311,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,025 : 193,338 = 193,338 : x
  2. Step 2: Convert to fraction form
    120,025/193,338 = 193,338/x
  3. Step 3: Cross multiply
    120,025x = 193,338 × 193,338
  4. Step 4: Simplify right side
    120,025x = 37,379,582,244
  5. Step 5: Solve for x
    x = 37,379,582,244/120,025
  6. Step 6: Final answer
    x = 311,431.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.