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Finding the Third Proportional to 92,256 and 150,648

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Solution

The third proportional to 92,256 and 150,648 is: 245,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,256 : 150,648 = 150,648 : x
  2. Step 2: Convert to fraction form
    92,256/150,648 = 150,648/x
  3. Step 3: Cross multiply
    92,256x = 150,648 × 150,648
  4. Step 4: Simplify right side
    92,256x = 22,694,819,904
  5. Step 5: Solve for x
    x = 22,694,819,904/92,256
  6. Step 6: Final answer
    x = 245,998.31

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.