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Finding the Third Proportional to 38,164 and 84,080

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Solution

The third proportional to 38,164 and 84,080 is: 185,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,164 : 84,080 = 84,080 : x
  2. Step 2: Convert to fraction form
    38,164/84,080 = 84,080/x
  3. Step 3: Cross multiply
    38,164x = 84,080 × 84,080
  4. Step 4: Simplify right side
    38,164x = 7,069,446,400
  5. Step 5: Solve for x
    x = 7,069,446,400/38,164
  6. Step 6: Final answer
    x = 185,238.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.