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Finding the Third Proportional to 57,396 and 126,392

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Solution

The third proportional to 57,396 and 126,392 is: 278,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,396 : 126,392 = 126,392 : x
  2. Step 2: Convert to fraction form
    57,396/126,392 = 126,392/x
  3. Step 3: Cross multiply
    57,396x = 126,392 × 126,392
  4. Step 4: Simplify right side
    57,396x = 15,974,937,664
  5. Step 5: Solve for x
    x = 15,974,937,664/57,396
  6. Step 6: Final answer
    x = 278,328.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.