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Finding the Third Proportional to 108,144.50 and 168,035.25

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Solution

The third proportional to 108,144.50 and 168,035.25 is: 261,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,144.50 : 168,035.25 = 168,035.25 : x
  2. Step 2: Convert to fraction form
    108,144.50/168,035.25 = 168,035.25/x
  3. Step 3: Cross multiply
    108,144.50x = 168,035.25 × 168,035.25
  4. Step 4: Simplify right side
    108,144.50x = 28,235,845,242.56
  5. Step 5: Solve for x
    x = 28,235,845,242.56/108,144.50
  6. Step 6: Final answer
    x = 261,093.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.