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Finding the Third Proportional to 85,819.50 and 131,282.25

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Solution

The third proportional to 85,819.50 and 131,282.25 is: 200,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,819.50 : 131,282.25 = 131,282.25 : x
  2. Step 2: Convert to fraction form
    85,819.50/131,282.25 = 131,282.25/x
  3. Step 3: Cross multiply
    85,819.50x = 131,282.25 × 131,282.25
  4. Step 4: Simplify right side
    85,819.50x = 17,235,029,165.06
  5. Step 5: Solve for x
    x = 17,235,029,165.06/85,819.50
  6. Step 6: Final answer
    x = 200,828.82

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