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Finding the Third Proportional to 90,201.94 and 144,939.38

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Solution

The third proportional to 90,201.94 and 144,939.38 is: 232,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,201.94 : 144,939.38 = 144,939.38 : x
  2. Step 2: Convert to fraction form
    90,201.94/144,939.38 = 144,939.38/x
  3. Step 3: Cross multiply
    90,201.94x = 144,939.38 × 144,939.38
  4. Step 4: Simplify right side
    90,201.94x = 21,007,422,425.39
  5. Step 5: Solve for x
    x = 21,007,422,425.39/90,201.94
  6. Step 6: Final answer
    x = 232,893.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.