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Finding the Third Proportional to 126,115.88 and 210,192.75

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Solution

The third proportional to 126,115.88 and 210,192.75 is: 350,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,115.88 : 210,192.75 = 210,192.75 : x
  2. Step 2: Convert to fraction form
    126,115.88/210,192.75 = 210,192.75/x
  3. Step 3: Cross multiply
    126,115.88x = 210,192.75 × 210,192.75
  4. Step 4: Simplify right side
    126,115.88x = 44,180,992,152.56
  5. Step 5: Solve for x
    x = 44,180,992,152.56/126,115.88
  6. Step 6: Final answer
    x = 350,320.63

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.