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Finding the Third Proportional to 122,652 and 164,832

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Solution

The third proportional to 122,652 and 164,832 is: 221,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,652 : 164,832 = 164,832 : x
  2. Step 2: Convert to fraction form
    122,652/164,832 = 164,832/x
  3. Step 3: Cross multiply
    122,652x = 164,832 × 164,832
  4. Step 4: Simplify right side
    122,652x = 27,169,588,224
  5. Step 5: Solve for x
    x = 27,169,588,224/122,652
  6. Step 6: Final answer
    x = 221,517.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.