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Finding the Third Proportional to 78,076.50 and 169,266

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Solution

The third proportional to 78,076.50 and 169,266 is: 366,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076.50 : 169,266 = 169,266 : x
  2. Step 2: Convert to fraction form
    78,076.50/169,266 = 169,266/x
  3. Step 3: Cross multiply
    78,076.50x = 169,266 × 169,266
  4. Step 4: Simplify right side
    78,076.50x = 28,650,978,756
  5. Step 5: Solve for x
    x = 28,650,978,756/78,076.50
  6. Step 6: Final answer
    x = 366,960.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.