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Finding the Third Proportional to 108,703.50 and 150,203.25

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Solution

The third proportional to 108,703.50 and 150,203.25 is: 207,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,703.50 : 150,203.25 = 150,203.25 : x
  2. Step 2: Convert to fraction form
    108,703.50/150,203.25 = 150,203.25/x
  3. Step 3: Cross multiply
    108,703.50x = 150,203.25 × 150,203.25
  4. Step 4: Simplify right side
    108,703.50x = 22,561,016,310.56
  5. Step 5: Solve for x
    x = 22,561,016,310.56/108,703.50
  6. Step 6: Final answer
    x = 207,546.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.