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Finding the Third Proportional to 49,610 and 117,087

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Solution

The third proportional to 49,610 and 117,087 is: 276,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,610 : 117,087 = 117,087 : x
  2. Step 2: Convert to fraction form
    49,610/117,087 = 117,087/x
  3. Step 3: Cross multiply
    49,610x = 117,087 × 117,087
  4. Step 4: Simplify right side
    49,610x = 13,709,365,569
  5. Step 5: Solve for x
    x = 13,709,365,569/49,610
  6. Step 6: Final answer
    x = 276,342.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.