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Finding the Third Proportional to 57,550 and 119,096

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Solution

The third proportional to 57,550 and 119,096 is: 246,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,550 : 119,096 = 119,096 : x
  2. Step 2: Convert to fraction form
    57,550/119,096 = 119,096/x
  3. Step 3: Cross multiply
    57,550x = 119,096 × 119,096
  4. Step 4: Simplify right side
    57,550x = 14,183,857,216
  5. Step 5: Solve for x
    x = 14,183,857,216/57,550
  6. Step 6: Final answer
    x = 246,461.46

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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.