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Finding the Third Proportional to 106,936.88 and 149,509.13

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Solution

The third proportional to 106,936.88 and 149,509.13 is: 209,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,936.88 : 149,509.13 = 149,509.13 : x
  2. Step 2: Convert to fraction form
    106,936.88/149,509.13 = 149,509.13/x
  3. Step 3: Cross multiply
    106,936.88x = 149,509.13 × 149,509.13
  4. Step 4: Simplify right side
    106,936.88x = 22,352,978,458.27
  5. Step 5: Solve for x
    x = 22,352,978,458.27/106,936.88
  6. Step 6: Final answer
    x = 209,029.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.