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Finding the Third Proportional to 53,241 and 79,863

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Solution

The third proportional to 53,241 and 79,863 is: 119,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,241 : 79,863 = 79,863 : x
  2. Step 2: Convert to fraction form
    53,241/79,863 = 79,863/x
  3. Step 3: Cross multiply
    53,241x = 79,863 × 79,863
  4. Step 4: Simplify right side
    53,241x = 6,378,098,769
  5. Step 5: Solve for x
    x = 6,378,098,769/53,241
  6. Step 6: Final answer
    x = 119,796.75

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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.