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Finding the Third Proportional to 57,843 and 117,295.88

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Solution

The third proportional to 57,843 and 117,295.88 is: 237,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,843 : 117,295.88 = 117,295.88 : x
  2. Step 2: Convert to fraction form
    57,843/117,295.88 = 117,295.88/x
  3. Step 3: Cross multiply
    57,843x = 117,295.88 × 117,295.88
  4. Step 4: Simplify right side
    57,843x = 13,758,322,292.02
  5. Step 5: Solve for x
    x = 13,758,322,292.02/57,843
  6. Step 6: Final answer
    x = 237,856.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.