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Finding the Third Proportional to 39,143.75 and 87,251.75

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Solution

The third proportional to 39,143.75 and 87,251.75 is: 194,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,143.75 : 87,251.75 = 87,251.75 : x
  2. Step 2: Convert to fraction form
    39,143.75/87,251.75 = 87,251.75/x
  3. Step 3: Cross multiply
    39,143.75x = 87,251.75 × 87,251.75
  4. Step 4: Simplify right side
    39,143.75x = 7,612,867,878.06
  5. Step 5: Solve for x
    x = 7,612,867,878.06/39,143.75
  6. Step 6: Final answer
    x = 194,484.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.