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Finding the Third Proportional to 74,441 and 111,677

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Solution

The third proportional to 74,441 and 111,677 is: 167,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,441 : 111,677 = 111,677 : x
  2. Step 2: Convert to fraction form
    74,441/111,677 = 111,677/x
  3. Step 3: Cross multiply
    74,441x = 111,677 × 111,677
  4. Step 4: Simplify right side
    74,441x = 12,471,752,329
  5. Step 5: Solve for x
    x = 12,471,752,329/74,441
  6. Step 6: Final answer
    x = 167,538.75

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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.