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Finding the Third Proportional to 57,549 and 119,094

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Solution

The third proportional to 57,549 and 119,094 is: 246,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,549 : 119,094 = 119,094 : x
  2. Step 2: Convert to fraction form
    57,549/119,094 = 119,094/x
  3. Step 3: Cross multiply
    57,549x = 119,094 × 119,094
  4. Step 4: Simplify right side
    57,549x = 14,183,380,836
  5. Step 5: Solve for x
    x = 14,183,380,836/57,549
  6. Step 6: Final answer
    x = 246,457.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.