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Finding the Third Proportional to 115,661.36 and 172,529.37

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Solution

The third proportional to 115,661.36 and 172,529.37 is: 257,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,661.36 : 172,529.37 = 172,529.37 : x
  2. Step 2: Convert to fraction form
    115,661.36/172,529.37 = 172,529.37/x
  3. Step 3: Cross multiply
    115,661.36x = 172,529.37 × 172,529.37
  4. Step 4: Simplify right side
    115,661.36x = 29,766,382,542.12
  5. Step 5: Solve for x
    x = 29,766,382,542.12/115,661.36
  6. Step 6: Final answer
    x = 257,358.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.