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Finding the Third Proportional to 80,735.50 and 126,009

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Solution

The third proportional to 80,735.50 and 126,009 is: 196,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,735.50 : 126,009 = 126,009 : x
  2. Step 2: Convert to fraction form
    80,735.50/126,009 = 126,009/x
  3. Step 3: Cross multiply
    80,735.50x = 126,009 × 126,009
  4. Step 4: Simplify right side
    80,735.50x = 15,878,268,081
  5. Step 5: Solve for x
    x = 15,878,268,081/80,735.50
  6. Step 6: Final answer
    x = 196,670.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.