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Finding the Third Proportional to 49,442 and 106,084

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Solution

The third proportional to 49,442 and 106,084 is: 227,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,442 : 106,084 = 106,084 : x
  2. Step 2: Convert to fraction form
    49,442/106,084 = 106,084/x
  3. Step 3: Cross multiply
    49,442x = 106,084 × 106,084
  4. Step 4: Simplify right side
    49,442x = 11,253,815,056
  5. Step 5: Solve for x
    x = 11,253,815,056/49,442
  6. Step 6: Final answer
    x = 227,616.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.