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Finding the Third Proportional to 122,351 and 164,662

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Solution

The third proportional to 122,351 and 164,662 is: 221,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,351 : 164,662 = 164,662 : x
  2. Step 2: Convert to fraction form
    122,351/164,662 = 164,662/x
  3. Step 3: Cross multiply
    122,351x = 164,662 × 164,662
  4. Step 4: Simplify right side
    122,351x = 27,113,574,244
  5. Step 5: Solve for x
    x = 27,113,574,244/122,351
  6. Step 6: Final answer
    x = 221,604.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.