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Finding the Third Proportional to 87,913 and 193,753

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Solution

The third proportional to 87,913 and 193,753 is: 427,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,913 : 193,753 = 193,753 : x
  2. Step 2: Convert to fraction form
    87,913/193,753 = 193,753/x
  3. Step 3: Cross multiply
    87,913x = 193,753 × 193,753
  4. Step 4: Simplify right side
    87,913x = 37,540,225,009
  5. Step 5: Solve for x
    x = 37,540,225,009/87,913
  6. Step 6: Final answer
    x = 427,015.63

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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.