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Finding the Third Proportional to 53,093 and 114,057

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Solution

The third proportional to 53,093 and 114,057 is: 245,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,093 : 114,057 = 114,057 : x
  2. Step 2: Convert to fraction form
    53,093/114,057 = 114,057/x
  3. Step 3: Cross multiply
    53,093x = 114,057 × 114,057
  4. Step 4: Simplify right side
    53,093x = 13,008,999,249
  5. Step 5: Solve for x
    x = 13,008,999,249/53,093
  6. Step 6: Final answer
    x = 245,022.87

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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.