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Finding the Third Proportional to 49,012 and 106,322

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Solution

The third proportional to 49,012 and 106,322 is: 230,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,012 : 106,322 = 106,322 : x
  2. Step 2: Convert to fraction form
    49,012/106,322 = 106,322/x
  3. Step 3: Cross multiply
    49,012x = 106,322 × 106,322
  4. Step 4: Simplify right side
    49,012x = 11,304,367,684
  5. Step 5: Solve for x
    x = 11,304,367,684/49,012
  6. Step 6: Final answer
    x = 230,644.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.