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Finding the Third Proportional to 53,227.13 and 112,944.38

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Solution

The third proportional to 53,227.13 and 112,944.38 is: 239,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,227.13 : 112,944.38 = 112,944.38 : x
  2. Step 2: Convert to fraction form
    53,227.13/112,944.38 = 112,944.38/x
  3. Step 3: Cross multiply
    53,227.13x = 112,944.38 × 112,944.38
  4. Step 4: Simplify right side
    53,227.13x = 12,756,431,844.14
  5. Step 5: Solve for x
    x = 12,756,431,844.14/53,227.13
  6. Step 6: Final answer
    x = 239,660.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.