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Finding the Third Proportional to 108,894 and 168,241.50

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Solution

The third proportional to 108,894 and 168,241.50 is: 259,933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,894 : 168,241.50 = 168,241.50 : x
  2. Step 2: Convert to fraction form
    108,894/168,241.50 = 168,241.50/x
  3. Step 3: Cross multiply
    108,894x = 168,241.50 × 168,241.50
  4. Step 4: Simplify right side
    108,894x = 28,305,202,322.25
  5. Step 5: Solve for x
    x = 28,305,202,322.25/108,894
  6. Step 6: Final answer
    x = 259,933.53

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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.