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Finding the Third Proportional to 81,496.13 and 171,861.75

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Solution

The third proportional to 81,496.13 and 171,861.75 is: 362,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,496.13 : 171,861.75 = 171,861.75 : x
  2. Step 2: Convert to fraction form
    81,496.13/171,861.75 = 171,861.75/x
  3. Step 3: Cross multiply
    81,496.13x = 171,861.75 × 171,861.75
  4. Step 4: Simplify right side
    81,496.13x = 29,536,461,113.06
  5. Step 5: Solve for x
    x = 29,536,461,113.06/81,496.13
  6. Step 6: Final answer
    x = 362,427.80

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.