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Finding the Third Proportional to 113,893 and 272,016

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Solution

The third proportional to 113,893 and 272,016 is: 649,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,893 : 272,016 = 272,016 : x
  2. Step 2: Convert to fraction form
    113,893/272,016 = 272,016/x
  3. Step 3: Cross multiply
    113,893x = 272,016 × 272,016
  4. Step 4: Simplify right side
    113,893x = 73,992,704,256
  5. Step 5: Solve for x
    x = 73,992,704,256/113,893
  6. Step 6: Final answer
    x = 649,668.59

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.