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Finding the Third Proportional to 85,007.50 and 131,168.75

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Solution

The third proportional to 85,007.50 and 131,168.75 is: 202,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,007.50 : 131,168.75 = 131,168.75 : x
  2. Step 2: Convert to fraction form
    85,007.50/131,168.75 = 131,168.75/x
  3. Step 3: Cross multiply
    85,007.50x = 131,168.75 × 131,168.75
  4. Step 4: Simplify right side
    85,007.50x = 17,205,240,976.56
  5. Step 5: Solve for x
    x = 17,205,240,976.56/85,007.50
  6. Step 6: Final answer
    x = 202,396.74

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