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Finding the Third Proportional to 81,853.50 and 126,157.50

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Solution

The third proportional to 81,853.50 and 126,157.50 is: 194,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,853.50 : 126,157.50 = 126,157.50 : x
  2. Step 2: Convert to fraction form
    81,853.50/126,157.50 = 126,157.50/x
  3. Step 3: Cross multiply
    81,853.50x = 126,157.50 × 126,157.50
  4. Step 4: Simplify right side
    81,853.50x = 15,915,714,806.25
  5. Step 5: Solve for x
    x = 15,915,714,806.25/81,853.50
  6. Step 6: Final answer
    x = 194,441.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.