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Finding the Third Proportional to 103,939.03 and 144,813.23

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Solution

The third proportional to 103,939.03 and 144,813.23 is: 201,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,939.03 : 144,813.23 = 144,813.23 : x
  2. Step 2: Convert to fraction form
    103,939.03/144,813.23 = 144,813.23/x
  3. Step 3: Cross multiply
    103,939.03x = 144,813.23 × 144,813.23
  4. Step 4: Simplify right side
    103,939.03x = 20,970,872,850.15
  5. Step 5: Solve for x
    x = 20,970,872,850.15/103,939.03
  6. Step 6: Final answer
    x = 201,761.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.