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Finding the Third Proportional to 53,299.69 and 115,995.38

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Solution

The third proportional to 53,299.69 and 115,995.38 is: 252,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,299.69 : 115,995.38 = 115,995.38 : x
  2. Step 2: Convert to fraction form
    53,299.69/115,995.38 = 115,995.38/x
  3. Step 3: Cross multiply
    53,299.69x = 115,995.38 × 115,995.38
  4. Step 4: Simplify right side
    53,299.69x = 13,454,927,021.39
  5. Step 5: Solve for x
    x = 13,454,927,021.39/53,299.69
  6. Step 6: Final answer
    x = 252,439.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.