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Finding the Third Proportional to 107,512.31 and 150,409.41

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Solution

The third proportional to 107,512.31 and 150,409.41 is: 210,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,512.31 : 150,409.41 = 150,409.41 : x
  2. Step 2: Convert to fraction form
    107,512.31/150,409.41 = 150,409.41/x
  3. Step 3: Cross multiply
    107,512.31x = 150,409.41 × 150,409.41
  4. Step 4: Simplify right side
    107,512.31x = 22,622,989,488.48
  5. Step 5: Solve for x
    x = 22,622,989,488.48/107,512.31
  6. Step 6: Final answer
    x = 210,422.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.