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Finding the Third Proportional to 120,740 and 163,977

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Solution

The third proportional to 120,740 and 163,977 is: 222,697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,740 : 163,977 = 163,977 : x
  2. Step 2: Convert to fraction form
    120,740/163,977 = 163,977/x
  3. Step 3: Cross multiply
    120,740x = 163,977 × 163,977
  4. Step 4: Simplify right side
    120,740x = 26,888,456,529
  5. Step 5: Solve for x
    x = 26,888,456,529/120,740
  6. Step 6: Final answer
    x = 222,697.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.