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Finding the Third Proportional to 108,327.75 and 158,478.75

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Solution

The third proportional to 108,327.75 and 158,478.75 is: 231,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,327.75 : 158,478.75 = 158,478.75 : x
  2. Step 2: Convert to fraction form
    108,327.75/158,478.75 = 158,478.75/x
  3. Step 3: Cross multiply
    108,327.75x = 158,478.75 × 158,478.75
  4. Step 4: Simplify right side
    108,327.75x = 25,115,514,201.56
  5. Step 5: Solve for x
    x = 25,115,514,201.56/108,327.75
  6. Step 6: Final answer
    x = 231,847.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.