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Finding the Third Proportional to 39,703 and 85,163

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Solution

The third proportional to 39,703 and 85,163 is: 182,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,703 : 85,163 = 85,163 : x
  2. Step 2: Convert to fraction form
    39,703/85,163 = 85,163/x
  3. Step 3: Cross multiply
    39,703x = 85,163 × 85,163
  4. Step 4: Simplify right side
    39,703x = 7,252,736,569
  5. Step 5: Solve for x
    x = 7,252,736,569/39,703
  6. Step 6: Final answer
    x = 182,674.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.