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Finding the Third Proportional to 105,067 and 224,897

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Solution

The third proportional to 105,067 and 224,897 is: 481,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,067 : 224,897 = 224,897 : x
  2. Step 2: Convert to fraction form
    105,067/224,897 = 224,897/x
  3. Step 3: Cross multiply
    105,067x = 224,897 × 224,897
  4. Step 4: Simplify right side
    105,067x = 50,578,660,609
  5. Step 5: Solve for x
    x = 50,578,660,609/105,067
  6. Step 6: Final answer
    x = 481,394.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.