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Finding the Third Proportional to 85,414.50 and 135,761.06

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Solution

The third proportional to 85,414.50 and 135,761.06 is: 215,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414.50 : 135,761.06 = 135,761.06 : x
  2. Step 2: Convert to fraction form
    85,414.50/135,761.06 = 135,761.06/x
  3. Step 3: Cross multiply
    85,414.50x = 135,761.06 × 135,761.06
  4. Step 4: Simplify right side
    85,414.50x = 18,431,066,091.13
  5. Step 5: Solve for x
    x = 18,431,066,091.13/85,414.50
  6. Step 6: Final answer
    x = 215,783.81

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.