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Finding the Third Proportional to 48,190.50 and 104,425.50

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Solution

The third proportional to 48,190.50 and 104,425.50 is: 226,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,190.50 : 104,425.50 = 104,425.50 : x
  2. Step 2: Convert to fraction form
    48,190.50/104,425.50 = 104,425.50/x
  3. Step 3: Cross multiply
    48,190.50x = 104,425.50 × 104,425.50
  4. Step 4: Simplify right side
    48,190.50x = 10,904,685,050.25
  5. Step 5: Solve for x
    x = 10,904,685,050.25/48,190.50
  6. Step 6: Final answer
    x = 226,282.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.