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Finding the Third Proportional to 55,016 and 82,668

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Solution

The third proportional to 55,016 and 82,668 is: 124,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,016 : 82,668 = 82,668 : x
  2. Step 2: Convert to fraction form
    55,016/82,668 = 82,668/x
  3. Step 3: Cross multiply
    55,016x = 82,668 × 82,668
  4. Step 4: Simplify right side
    55,016x = 6,833,998,224
  5. Step 5: Solve for x
    x = 6,833,998,224/55,016
  6. Step 6: Final answer
    x = 124,218.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.