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Finding the Third Proportional to 74,815 and 111,965

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Solution

The third proportional to 74,815 and 111,965 is: 167,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,815 : 111,965 = 111,965 : x
  2. Step 2: Convert to fraction form
    74,815/111,965 = 111,965/x
  3. Step 3: Cross multiply
    74,815x = 111,965 × 111,965
  4. Step 4: Simplify right side
    74,815x = 12,536,161,225
  5. Step 5: Solve for x
    x = 12,536,161,225/74,815
  6. Step 6: Final answer
    x = 167,562.14

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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.