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Finding the Third Proportional to 57,520.50 and 117,831

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Solution

The third proportional to 57,520.50 and 117,831 is: 241,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,520.50 : 117,831 = 117,831 : x
  2. Step 2: Convert to fraction form
    57,520.50/117,831 = 117,831/x
  3. Step 3: Cross multiply
    57,520.50x = 117,831 × 117,831
  4. Step 4: Simplify right side
    57,520.50x = 13,884,144,561
  5. Step 5: Solve for x
    x = 13,884,144,561/57,520.50
  6. Step 6: Final answer
    x = 241,377.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.