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Finding the Third Proportional to 48,001.50 and 104,735.25

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Solution

The third proportional to 48,001.50 and 104,735.25 is: 228,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,001.50 : 104,735.25 = 104,735.25 : x
  2. Step 2: Convert to fraction form
    48,001.50/104,735.25 = 104,735.25/x
  3. Step 3: Cross multiply
    48,001.50x = 104,735.25 × 104,735.25
  4. Step 4: Simplify right side
    48,001.50x = 10,969,472,592.56
  5. Step 5: Solve for x
    x = 10,969,472,592.56/48,001.50
  6. Step 6: Final answer
    x = 228,523.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.