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Finding the Third Proportional to 126,324.75 and 190,803.56

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Solution

The third proportional to 126,324.75 and 190,803.56 is: 288,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,324.75 : 190,803.56 = 190,803.56 : x
  2. Step 2: Convert to fraction form
    126,324.75/190,803.56 = 190,803.56/x
  3. Step 3: Cross multiply
    126,324.75x = 190,803.56 × 190,803.56
  4. Step 4: Simplify right side
    126,324.75x = 36,405,999,462.69
  5. Step 5: Solve for x
    x = 36,405,999,462.69/126,324.75
  6. Step 6: Final answer
    x = 288,193.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.