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Finding the Third Proportional to 49,684 and 75,168

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Solution

The third proportional to 49,684 and 75,168 is: 113,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,684 : 75,168 = 75,168 : x
  2. Step 2: Convert to fraction form
    49,684/75,168 = 75,168/x
  3. Step 3: Cross multiply
    49,684x = 75,168 × 75,168
  4. Step 4: Simplify right side
    49,684x = 5,650,228,224
  5. Step 5: Solve for x
    x = 5,650,228,224/49,684
  6. Step 6: Final answer
    x = 113,723.30

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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.