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Finding the Third Proportional to 106,837 and 227,972

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Solution

The third proportional to 106,837 and 227,972 is: 486,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,837 : 227,972 = 227,972 : x
  2. Step 2: Convert to fraction form
    106,837/227,972 = 227,972/x
  3. Step 3: Cross multiply
    106,837x = 227,972 × 227,972
  4. Step 4: Simplify right side
    106,837x = 51,971,232,784
  5. Step 5: Solve for x
    x = 51,971,232,784/106,837
  6. Step 6: Final answer
    x = 486,453.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.