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Finding the Third Proportional to 49,984 and 75,296

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Solution

The third proportional to 49,984 and 75,296 is: 113,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,984 : 75,296 = 75,296 : x
  2. Step 2: Convert to fraction form
    49,984/75,296 = 75,296/x
  3. Step 3: Cross multiply
    49,984x = 75,296 × 75,296
  4. Step 4: Simplify right side
    49,984x = 5,669,487,616
  5. Step 5: Solve for x
    x = 5,669,487,616/49,984
  6. Step 6: Final answer
    x = 113,426.05

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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.