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Finding the Third Proportional to 57,613 and 119,225

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Solution

The third proportional to 57,613 and 119,225 is: 246,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,613 : 119,225 = 119,225 : x
  2. Step 2: Convert to fraction form
    57,613/119,225 = 119,225/x
  3. Step 3: Cross multiply
    57,613x = 119,225 × 119,225
  4. Step 4: Simplify right side
    57,613x = 14,214,600,625
  5. Step 5: Solve for x
    x = 14,214,600,625/57,613
  6. Step 6: Final answer
    x = 246,725.58

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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.