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Finding the Third Proportional to 49,962 and 74,186

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Solution

The third proportional to 49,962 and 74,186 is: 110,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,962 : 74,186 = 74,186 : x
  2. Step 2: Convert to fraction form
    49,962/74,186 = 74,186/x
  3. Step 3: Cross multiply
    49,962x = 74,186 × 74,186
  4. Step 4: Simplify right side
    49,962x = 5,503,562,596
  5. Step 5: Solve for x
    x = 5,503,562,596/49,962
  6. Step 6: Final answer
    x = 110,154.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.