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Finding the Third Proportional to 49,586 and 106,948

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Solution

The third proportional to 49,586 and 106,948 is: 230,667.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,586 : 106,948 = 106,948 : x
  2. Step 2: Convert to fraction form
    49,586/106,948 = 106,948/x
  3. Step 3: Cross multiply
    49,586x = 106,948 × 106,948
  4. Step 4: Simplify right side
    49,586x = 11,437,874,704
  5. Step 5: Solve for x
    x = 11,437,874,704/49,586
  6. Step 6: Final answer
    x = 230,667.42

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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.