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Finding the Third Proportional to 106,441 and 159,677

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Solution

The third proportional to 106,441 and 159,677 is: 239,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,441 : 159,677 = 159,677 : x
  2. Step 2: Convert to fraction form
    106,441/159,677 = 159,677/x
  3. Step 3: Cross multiply
    106,441x = 159,677 × 159,677
  4. Step 4: Simplify right side
    106,441x = 25,496,744,329
  5. Step 5: Solve for x
    x = 25,496,744,329/106,441
  6. Step 6: Final answer
    x = 239,538.75

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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.