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Finding the Third Proportional to 81,389.50 and 169,016.50

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Solution

The third proportional to 81,389.50 and 169,016.50 is: 350,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,389.50 : 169,016.50 = 169,016.50 : x
  2. Step 2: Convert to fraction form
    81,389.50/169,016.50 = 169,016.50/x
  3. Step 3: Cross multiply
    81,389.50x = 169,016.50 × 169,016.50
  4. Step 4: Simplify right side
    81,389.50x = 28,566,577,272.25
  5. Step 5: Solve for x
    x = 28,566,577,272.25/81,389.50
  6. Step 6: Final answer
    x = 350,986.03

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.