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Finding the Third Proportional to 49,716 and 75,054

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Solution

The third proportional to 49,716 and 75,054 is: 113,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,716 : 75,054 = 75,054 : x
  2. Step 2: Convert to fraction form
    49,716/75,054 = 75,054/x
  3. Step 3: Cross multiply
    49,716x = 75,054 × 75,054
  4. Step 4: Simplify right side
    49,716x = 5,633,102,916
  5. Step 5: Solve for x
    x = 5,633,102,916/49,716
  6. Step 6: Final answer
    x = 113,305.63

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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.