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Finding the Third Proportional to 132,662.25 and 187,535.25

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Solution

The third proportional to 132,662.25 and 187,535.25 is: 265,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,662.25 : 187,535.25 = 187,535.25 : x
  2. Step 2: Convert to fraction form
    132,662.25/187,535.25 = 187,535.25/x
  3. Step 3: Cross multiply
    132,662.25x = 187,535.25 × 187,535.25
  4. Step 4: Simplify right side
    132,662.25x = 35,169,469,992.56
  5. Step 5: Solve for x
    x = 35,169,469,992.56/132,662.25
  6. Step 6: Final answer
    x = 265,105.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.