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Finding the Third Proportional to 59,185 and 126,794

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Solution

The third proportional to 59,185 and 126,794 is: 271,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,185 : 126,794 = 126,794 : x
  2. Step 2: Convert to fraction form
    59,185/126,794 = 126,794/x
  3. Step 3: Cross multiply
    59,185x = 126,794 × 126,794
  4. Step 4: Simplify right side
    59,185x = 16,076,718,436
  5. Step 5: Solve for x
    x = 16,076,718,436/59,185
  6. Step 6: Final answer
    x = 271,635.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.