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Finding the Third Proportional to 57,796 and 126,792

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Solution

The third proportional to 57,796 and 126,792 is: 278,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,796 : 126,792 = 126,792 : x
  2. Step 2: Convert to fraction form
    57,796/126,792 = 126,792/x
  3. Step 3: Cross multiply
    57,796x = 126,792 × 126,792
  4. Step 4: Simplify right side
    57,796x = 16,076,211,264
  5. Step 5: Solve for x
    x = 16,076,211,264/57,796
  6. Step 6: Final answer
    x = 278,154.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.