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Finding the Third Proportional to 50,512.50 and 104,305.50

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Solution

The third proportional to 50,512.50 and 104,305.50 is: 215,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,512.50 : 104,305.50 = 104,305.50 : x
  2. Step 2: Convert to fraction form
    50,512.50/104,305.50 = 104,305.50/x
  3. Step 3: Cross multiply
    50,512.50x = 104,305.50 × 104,305.50
  4. Step 4: Simplify right side
    50,512.50x = 10,879,637,330.25
  5. Step 5: Solve for x
    x = 10,879,637,330.25/50,512.50
  6. Step 6: Final answer
    x = 215,385.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.