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Finding the Third Proportional to 49,243 and 74,449

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Solution

The third proportional to 49,243 and 74,449 is: 112,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,243 : 74,449 = 74,449 : x
  2. Step 2: Convert to fraction form
    49,243/74,449 = 74,449/x
  3. Step 3: Cross multiply
    49,243x = 74,449 × 74,449
  4. Step 4: Simplify right side
    49,243x = 5,542,653,601
  5. Step 5: Solve for x
    x = 5,542,653,601/49,243
  6. Step 6: Final answer
    x = 112,557.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.