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Finding the Third Proportional to 85,414.50 and 136,019.25

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Solution

The third proportional to 85,414.50 and 136,019.25 is: 216,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414.50 : 136,019.25 = 136,019.25 : x
  2. Step 2: Convert to fraction form
    85,414.50/136,019.25 = 136,019.25/x
  3. Step 3: Cross multiply
    85,414.50x = 136,019.25 × 136,019.25
  4. Step 4: Simplify right side
    85,414.50x = 18,501,236,370.56
  5. Step 5: Solve for x
    x = 18,501,236,370.56/85,414.50
  6. Step 6: Final answer
    x = 216,605.33

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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.