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Finding the Third Proportional to 39,208 and 85,328

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Solution

The third proportional to 39,208 and 85,328 is: 185,698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,208 : 85,328 = 85,328 : x
  2. Step 2: Convert to fraction form
    39,208/85,328 = 85,328/x
  3. Step 3: Cross multiply
    39,208x = 85,328 × 85,328
  4. Step 4: Simplify right side
    39,208x = 7,280,867,584
  5. Step 5: Solve for x
    x = 7,280,867,584/39,208
  6. Step 6: Final answer
    x = 185,698.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.