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Finding the Third Proportional to 49,909 and 74,857

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Solution

The third proportional to 49,909 and 74,857 is: 112,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,909 : 74,857 = 74,857 : x
  2. Step 2: Convert to fraction form
    49,909/74,857 = 74,857/x
  3. Step 3: Cross multiply
    49,909x = 74,857 × 74,857
  4. Step 4: Simplify right side
    49,909x = 5,603,570,449
  5. Step 5: Solve for x
    x = 5,603,570,449/49,909
  6. Step 6: Final answer
    x = 112,275.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.