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Finding the Third Proportional to 57,365.72 and 123,942.66

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Solution

The third proportional to 57,365.72 and 123,942.66 is: 267,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,365.72 : 123,942.66 = 123,942.66 : x
  2. Step 2: Convert to fraction form
    57,365.72/123,942.66 = 123,942.66/x
  3. Step 3: Cross multiply
    57,365.72x = 123,942.66 × 123,942.66
  4. Step 4: Simplify right side
    57,365.72x = 15,361,782,038.31
  5. Step 5: Solve for x
    x = 15,361,782,038.31/57,365.72
  6. Step 6: Final answer
    x = 267,786.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.