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Finding the Third Proportional to 118,543.50 and 166,738.50

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Solution

The third proportional to 118,543.50 and 166,738.50 is: 234,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,543.50 : 166,738.50 = 166,738.50 : x
  2. Step 2: Convert to fraction form
    118,543.50/166,738.50 = 166,738.50/x
  3. Step 3: Cross multiply
    118,543.50x = 166,738.50 × 166,738.50
  4. Step 4: Simplify right side
    118,543.50x = 27,801,727,382.25
  5. Step 5: Solve for x
    x = 27,801,727,382.25/118,543.50
  6. Step 6: Final answer
    x = 234,527.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.