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Finding the Third Proportional to 57,382 and 126,364

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Solution

The third proportional to 57,382 and 126,364 is: 278,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,382 : 126,364 = 126,364 : x
  2. Step 2: Convert to fraction form
    57,382/126,364 = 126,364/x
  3. Step 3: Cross multiply
    57,382x = 126,364 × 126,364
  4. Step 4: Simplify right side
    57,382x = 15,967,860,496
  5. Step 5: Solve for x
    x = 15,967,860,496/57,382
  6. Step 6: Final answer
    x = 278,272.99

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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.