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Finding the Third Proportional to 50,540.20 and 108,461.53

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Solution

The third proportional to 50,540.20 and 108,461.53 is: 232,763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,540.20 : 108,461.53 = 108,461.53 : x
  2. Step 2: Convert to fraction form
    50,540.20/108,461.53 = 108,461.53/x
  3. Step 3: Cross multiply
    50,540.20x = 108,461.53 × 108,461.53
  4. Step 4: Simplify right side
    50,540.20x = 11,763,903,761.09
  5. Step 5: Solve for x
    x = 11,763,903,761.09/50,540.20
  6. Step 6: Final answer
    x = 232,763.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.