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Finding the Third Proportional to 122,772 and 194,098

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Solution

The third proportional to 122,772 and 194,098 is: 306,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,772 : 194,098 = 194,098 : x
  2. Step 2: Convert to fraction form
    122,772/194,098 = 194,098/x
  3. Step 3: Cross multiply
    122,772x = 194,098 × 194,098
  4. Step 4: Simplify right side
    122,772x = 37,674,033,604
  5. Step 5: Solve for x
    x = 37,674,033,604/122,772
  6. Step 6: Final answer
    x = 306,861.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.