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Finding the Third Proportional to 132,123.75 and 188,262.75

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Solution

The third proportional to 132,123.75 and 188,262.75 is: 268,255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,123.75 : 188,262.75 = 188,262.75 : x
  2. Step 2: Convert to fraction form
    132,123.75/188,262.75 = 188,262.75/x
  3. Step 3: Cross multiply
    132,123.75x = 188,262.75 × 188,262.75
  4. Step 4: Simplify right side
    132,123.75x = 35,442,863,037.56
  5. Step 5: Solve for x
    x = 35,442,863,037.56/132,123.75
  6. Step 6: Final answer
    x = 268,255.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.