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Finding the Third Proportional to 85,896.70 and 131,066.23

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Solution

The third proportional to 85,896.70 and 131,066.23 is: 199,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,896.70 : 131,066.23 = 131,066.23 : x
  2. Step 2: Convert to fraction form
    85,896.70/131,066.23 = 131,066.23/x
  3. Step 3: Cross multiply
    85,896.70x = 131,066.23 × 131,066.23
  4. Step 4: Simplify right side
    85,896.70x = 17,178,355,745.33
  5. Step 5: Solve for x
    x = 17,178,355,745.33/85,896.70
  6. Step 6: Final answer
    x = 199,988.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.