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Finding the Third Proportional to 55,629 and 115,866

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Solution

The third proportional to 55,629 and 115,866 is: 241,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,629 : 115,866 = 115,866 : x
  2. Step 2: Convert to fraction form
    55,629/115,866 = 115,866/x
  3. Step 3: Cross multiply
    55,629x = 115,866 × 115,866
  4. Step 4: Simplify right side
    55,629x = 13,424,929,956
  5. Step 5: Solve for x
    x = 13,424,929,956/55,629
  6. Step 6: Final answer
    x = 241,329.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.