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Finding the Third Proportional to 39,100 and 85,216

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Solution

The third proportional to 39,100 and 85,216 is: 185,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,100 : 85,216 = 85,216 : x
  2. Step 2: Convert to fraction form
    39,100/85,216 = 85,216/x
  3. Step 3: Cross multiply
    39,100x = 85,216 × 85,216
  4. Step 4: Simplify right side
    39,100x = 7,261,766,656
  5. Step 5: Solve for x
    x = 7,261,766,656/39,100
  6. Step 6: Final answer
    x = 185,722.93

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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.