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Finding the Third Proportional to 85,506.75 and 131,622.75

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Solution

The third proportional to 85,506.75 and 131,622.75 is: 202,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,506.75 : 131,622.75 = 131,622.75 : x
  2. Step 2: Convert to fraction form
    85,506.75/131,622.75 = 131,622.75/x
  3. Step 3: Cross multiply
    85,506.75x = 131,622.75 × 131,622.75
  4. Step 4: Simplify right side
    85,506.75x = 17,324,548,317.56
  5. Step 5: Solve for x
    x = 17,324,548,317.56/85,506.75
  6. Step 6: Final answer
    x = 202,610.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.