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Finding the Third Proportional to 109,242.75 and 166,143.75

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Solution

The third proportional to 109,242.75 and 166,143.75 is: 252,682.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242.75 : 166,143.75 = 166,143.75 : x
  2. Step 2: Convert to fraction form
    109,242.75/166,143.75 = 166,143.75/x
  3. Step 3: Cross multiply
    109,242.75x = 166,143.75 × 166,143.75
  4. Step 4: Simplify right side
    109,242.75x = 27,603,745,664.06
  5. Step 5: Solve for x
    x = 27,603,745,664.06/109,242.75
  6. Step 6: Final answer
    x = 252,682.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.