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Finding the Third Proportional to 76,065.50 and 169,620.50

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Solution

The third proportional to 76,065.50 and 169,620.50 is: 378,241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,065.50 : 169,620.50 = 169,620.50 : x
  2. Step 2: Convert to fraction form
    76,065.50/169,620.50 = 169,620.50/x
  3. Step 3: Cross multiply
    76,065.50x = 169,620.50 × 169,620.50
  4. Step 4: Simplify right side
    76,065.50x = 28,771,114,020.25
  5. Step 5: Solve for x
    x = 28,771,114,020.25/76,065.50
  6. Step 6: Final answer
    x = 378,241.31

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.