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Finding the Third Proportional to 107,514 and 227,853

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Solution

The third proportional to 107,514 and 227,853 is: 482,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,514 : 227,853 = 227,853 : x
  2. Step 2: Convert to fraction form
    107,514/227,853 = 227,853/x
  3. Step 3: Cross multiply
    107,514x = 227,853 × 227,853
  4. Step 4: Simplify right side
    107,514x = 51,916,989,609
  5. Step 5: Solve for x
    x = 51,916,989,609/107,514
  6. Step 6: Final answer
    x = 482,885.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.