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Finding the Third Proportional to 73,859.34 and 161,086.22

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Solution

The third proportional to 73,859.34 and 161,086.22 is: 351,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,859.34 : 161,086.22 = 161,086.22 : x
  2. Step 2: Convert to fraction form
    73,859.34/161,086.22 = 161,086.22/x
  3. Step 3: Cross multiply
    73,859.34x = 161,086.22 × 161,086.22
  4. Step 4: Simplify right side
    73,859.34x = 25,948,769,871.17
  5. Step 5: Solve for x
    x = 25,948,769,871.17/73,859.34
  6. Step 6: Final answer
    x = 351,326.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.