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Finding the Third Proportional to 122,004 and 194,805

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Solution

The third proportional to 122,004 and 194,805 is: 311,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,004 : 194,805 = 194,805 : x
  2. Step 2: Convert to fraction form
    122,004/194,805 = 194,805/x
  3. Step 3: Cross multiply
    122,004x = 194,805 × 194,805
  4. Step 4: Simplify right side
    122,004x = 37,948,988,025
  5. Step 5: Solve for x
    x = 37,948,988,025/122,004
  6. Step 6: Final answer
    x = 311,047.08

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.