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Finding the Third Proportional to 39,856 and 87,124

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Solution

The third proportional to 39,856 and 87,124 is: 190,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,856 : 87,124 = 87,124 : x
  2. Step 2: Convert to fraction form
    39,856/87,124 = 87,124/x
  3. Step 3: Cross multiply
    39,856x = 87,124 × 87,124
  4. Step 4: Simplify right side
    39,856x = 7,590,591,376
  5. Step 5: Solve for x
    x = 7,590,591,376/39,856
  6. Step 6: Final answer
    x = 190,450.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.