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Finding the Third Proportional to 111,082.50 and 241,875

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Solution

The third proportional to 111,082.50 and 241,875 is: 526,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,082.50 : 241,875 = 241,875 : x
  2. Step 2: Convert to fraction form
    111,082.50/241,875 = 241,875/x
  3. Step 3: Cross multiply
    111,082.50x = 241,875 × 241,875
  4. Step 4: Simplify right side
    111,082.50x = 58,503,515,625
  5. Step 5: Solve for x
    x = 58,503,515,625/111,082.50
  6. Step 6: Final answer
    x = 526,667.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.