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Finding the Third Proportional to 78,793.50 and 118,270.88

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Solution

The third proportional to 78,793.50 and 118,270.88 is: 177,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,793.50 : 118,270.88 = 118,270.88 : x
  2. Step 2: Convert to fraction form
    78,793.50/118,270.88 = 118,270.88/x
  3. Step 3: Cross multiply
    78,793.50x = 118,270.88 × 118,270.88
  4. Step 4: Simplify right side
    78,793.50x = 13,987,999,873.27
  5. Step 5: Solve for x
    x = 13,987,999,873.27/78,793.50
  6. Step 6: Final answer
    x = 177,527.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.