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Finding the Third Proportional to 85,515 and 134,145.75

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Solution

The third proportional to 85,515 and 134,145.75 is: 210,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,515 : 134,145.75 = 134,145.75 : x
  2. Step 2: Convert to fraction form
    85,515/134,145.75 = 134,145.75/x
  3. Step 3: Cross multiply
    85,515x = 134,145.75 × 134,145.75
  4. Step 4: Simplify right side
    85,515x = 17,995,082,243.06
  5. Step 5: Solve for x
    x = 17,995,082,243.06/85,515
  6. Step 6: Final answer
    x = 210,431.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.