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Finding the Third Proportional to 57,182 and 118,269

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Solution

The third proportional to 57,182 and 118,269 is: 244,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,182 : 118,269 = 118,269 : x
  2. Step 2: Convert to fraction form
    57,182/118,269 = 118,269/x
  3. Step 3: Cross multiply
    57,182x = 118,269 × 118,269
  4. Step 4: Simplify right side
    57,182x = 13,987,556,361
  5. Step 5: Solve for x
    x = 13,987,556,361/57,182
  6. Step 6: Final answer
    x = 244,614.68

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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.