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Finding the Third Proportional to 65,247.75 and 86,754.38

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Solution

The third proportional to 65,247.75 and 86,754.38 is: 115,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,247.75 : 86,754.38 = 86,754.38 : x
  2. Step 2: Convert to fraction form
    65,247.75/86,754.38 = 86,754.38/x
  3. Step 3: Cross multiply
    65,247.75x = 86,754.38 × 86,754.38
  4. Step 4: Simplify right side
    65,247.75x = 7,526,321,581.64
  5. Step 5: Solve for x
    x = 7,526,321,581.64/65,247.75
  6. Step 6: Final answer
    x = 115,349.90

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.