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Finding the Third Proportional to 118,935 and 163,086.75

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Solution

The third proportional to 118,935 and 163,086.75 is: 223,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,935 : 163,086.75 = 163,086.75 : x
  2. Step 2: Convert to fraction form
    118,935/163,086.75 = 163,086.75/x
  3. Step 3: Cross multiply
    118,935x = 163,086.75 × 163,086.75
  4. Step 4: Simplify right side
    118,935x = 26,597,288,025.56
  5. Step 5: Solve for x
    x = 26,597,288,025.56/118,935
  6. Step 6: Final answer
    x = 223,628.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.