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Finding the Third Proportional to 85,812 and 131,270

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Solution

The third proportional to 85,812 and 131,270 is: 200,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,812 : 131,270 = 131,270 : x
  2. Step 2: Convert to fraction form
    85,812/131,270 = 131,270/x
  3. Step 3: Cross multiply
    85,812x = 131,270 × 131,270
  4. Step 4: Simplify right side
    85,812x = 17,231,812,900
  5. Step 5: Solve for x
    x = 17,231,812,900/85,812
  6. Step 6: Final answer
    x = 200,808.90

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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.