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Finding the Third Proportional to 39,199 and 59,163

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Solution

The third proportional to 39,199 and 59,163 is: 89,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,199 : 59,163 = 59,163 : x
  2. Step 2: Convert to fraction form
    39,199/59,163 = 59,163/x
  3. Step 3: Cross multiply
    39,199x = 59,163 × 59,163
  4. Step 4: Simplify right side
    39,199x = 3,500,260,569
  5. Step 5: Solve for x
    x = 3,500,260,569/39,199
  6. Step 6: Final answer
    x = 89,294.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.