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Finding the Third Proportional to 107,069 and 222,634

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Solution

The third proportional to 107,069 and 222,634 is: 462,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,069 : 222,634 = 222,634 : x
  2. Step 2: Convert to fraction form
    107,069/222,634 = 222,634/x
  3. Step 3: Cross multiply
    107,069x = 222,634 × 222,634
  4. Step 4: Simplify right side
    107,069x = 49,565,897,956
  5. Step 5: Solve for x
    x = 49,565,897,956/107,069
  6. Step 6: Final answer
    x = 462,934.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.