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Finding the Third Proportional to 53,842 and 82,647

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Solution

The third proportional to 53,842 and 82,647 is: 126,862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,842 : 82,647 = 82,647 : x
  2. Step 2: Convert to fraction form
    53,842/82,647 = 82,647/x
  3. Step 3: Cross multiply
    53,842x = 82,647 × 82,647
  4. Step 4: Simplify right side
    53,842x = 6,830,526,609
  5. Step 5: Solve for x
    x = 6,830,526,609/53,842
  6. Step 6: Final answer
    x = 126,862.42

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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.