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Finding the Third Proportional to 78,241.50 and 168,930

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Solution

The third proportional to 78,241.50 and 168,930 is: 364,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,241.50 : 168,930 = 168,930 : x
  2. Step 2: Convert to fraction form
    78,241.50/168,930 = 168,930/x
  3. Step 3: Cross multiply
    78,241.50x = 168,930 × 168,930
  4. Step 4: Simplify right side
    78,241.50x = 28,537,344,900
  5. Step 5: Solve for x
    x = 28,537,344,900/78,241.50
  6. Step 6: Final answer
    x = 364,734.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.