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Finding the Third Proportional to 38,165 and 83,110

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Solution

The third proportional to 38,165 and 83,110 is: 180,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,165 : 83,110 = 83,110 : x
  2. Step 2: Convert to fraction form
    38,165/83,110 = 83,110/x
  3. Step 3: Cross multiply
    38,165x = 83,110 × 83,110
  4. Step 4: Simplify right side
    38,165x = 6,907,272,100
  5. Step 5: Solve for x
    x = 6,907,272,100/38,165
  6. Step 6: Final answer
    x = 180,984.46

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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.