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Finding the Third Proportional to 126,052.50 and 195,157.50

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Solution

The third proportional to 126,052.50 and 195,157.50 is: 302,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,052.50 : 195,157.50 = 195,157.50 : x
  2. Step 2: Convert to fraction form
    126,052.50/195,157.50 = 195,157.50/x
  3. Step 3: Cross multiply
    126,052.50x = 195,157.50 × 195,157.50
  4. Step 4: Simplify right side
    126,052.50x = 38,086,449,806.25
  5. Step 5: Solve for x
    x = 38,086,449,806.25/126,052.50
  6. Step 6: Final answer
    x = 302,147.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.