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Finding the Third Proportional to 55,789.75 and 116,092

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Solution

The third proportional to 55,789.75 and 116,092 is: 241,573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,789.75 : 116,092 = 116,092 : x
  2. Step 2: Convert to fraction form
    55,789.75/116,092 = 116,092/x
  3. Step 3: Cross multiply
    55,789.75x = 116,092 × 116,092
  4. Step 4: Simplify right side
    55,789.75x = 13,477,352,464
  5. Step 5: Solve for x
    x = 13,477,352,464/55,789.75
  6. Step 6: Final answer
    x = 241,573.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.