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Finding the Third Proportional to 106,249.50 and 158,178.75

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Solution

The third proportional to 106,249.50 and 158,178.75 is: 235,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,249.50 : 158,178.75 = 158,178.75 : x
  2. Step 2: Convert to fraction form
    106,249.50/158,178.75 = 158,178.75/x
  3. Step 3: Cross multiply
    106,249.50x = 158,178.75 × 158,178.75
  4. Step 4: Simplify right side
    106,249.50x = 25,020,516,951.56
  5. Step 5: Solve for x
    x = 25,020,516,951.56/106,249.50
  6. Step 6: Final answer
    x = 235,488.33

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Why These Related Problems?

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