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Finding the Third Proportional to 49,784 and 107,344

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Solution

The third proportional to 49,784 and 107,344 is: 231,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,784 : 107,344 = 107,344 : x
  2. Step 2: Convert to fraction form
    49,784/107,344 = 107,344/x
  3. Step 3: Cross multiply
    49,784x = 107,344 × 107,344
  4. Step 4: Simplify right side
    49,784x = 11,522,734,336
  5. Step 5: Solve for x
    x = 11,522,734,336/49,784
  6. Step 6: Final answer
    x = 231,454.57

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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.