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Finding the Third Proportional to 53,593 and 114,962

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Solution

The third proportional to 53,593 and 114,962 is: 246,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,593 : 114,962 = 114,962 : x
  2. Step 2: Convert to fraction form
    53,593/114,962 = 114,962/x
  3. Step 3: Cross multiply
    53,593x = 114,962 × 114,962
  4. Step 4: Simplify right side
    53,593x = 13,216,261,444
  5. Step 5: Solve for x
    x = 13,216,261,444/53,593
  6. Step 6: Final answer
    x = 246,604.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.