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Finding the Third Proportional to 57,644 and 124,182

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Solution

The third proportional to 57,644 and 124,182 is: 267,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,644 : 124,182 = 124,182 : x
  2. Step 2: Convert to fraction form
    57,644/124,182 = 124,182/x
  3. Step 3: Cross multiply
    57,644x = 124,182 × 124,182
  4. Step 4: Simplify right side
    57,644x = 15,421,169,124
  5. Step 5: Solve for x
    x = 15,421,169,124/57,644
  6. Step 6: Final answer
    x = 267,524.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.