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Finding the Third Proportional to 55,652 and 113,864

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Solution

The third proportional to 55,652 and 113,864 is: 232,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,652 : 113,864 = 113,864 : x
  2. Step 2: Convert to fraction form
    55,652/113,864 = 113,864/x
  3. Step 3: Cross multiply
    55,652x = 113,864 × 113,864
  4. Step 4: Simplify right side
    55,652x = 12,965,010,496
  5. Step 5: Solve for x
    x = 12,965,010,496/55,652
  6. Step 6: Final answer
    x = 232,965.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.