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Finding the Third Proportional to 49,278 and 106,494

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Solution

The third proportional to 49,278 and 106,494 is: 230,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,278 : 106,494 = 106,494 : x
  2. Step 2: Convert to fraction form
    49,278/106,494 = 106,494/x
  3. Step 3: Cross multiply
    49,278x = 106,494 × 106,494
  4. Step 4: Simplify right side
    49,278x = 11,340,972,036
  5. Step 5: Solve for x
    x = 11,340,972,036/49,278
  6. Step 6: Final answer
    x = 230,142.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.