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Finding the Third Proportional to 53,858 and 82,668

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Solution

The third proportional to 53,858 and 82,668 is: 126,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,858 : 82,668 = 82,668 : x
  2. Step 2: Convert to fraction form
    53,858/82,668 = 82,668/x
  3. Step 3: Cross multiply
    53,858x = 82,668 × 82,668
  4. Step 4: Simplify right side
    53,858x = 6,833,998,224
  5. Step 5: Solve for x
    x = 6,833,998,224/53,858
  6. Step 6: Final answer
    x = 126,889.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.