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Finding the Third Proportional to 90,049.50 and 158,917.50

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Solution

The third proportional to 90,049.50 and 158,917.50 is: 280,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,049.50 : 158,917.50 = 158,917.50 : x
  2. Step 2: Convert to fraction form
    90,049.50/158,917.50 = 158,917.50/x
  3. Step 3: Cross multiply
    90,049.50x = 158,917.50 × 158,917.50
  4. Step 4: Simplify right side
    90,049.50x = 25,254,771,806.25
  5. Step 5: Solve for x
    x = 25,254,771,806.25/90,049.50
  6. Step 6: Final answer
    x = 280,454.33

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.