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Finding the Third Proportional to 123,954 and 163,696

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Solution

The third proportional to 123,954 and 163,696 is: 216,180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,954 : 163,696 = 163,696 : x
  2. Step 2: Convert to fraction form
    123,954/163,696 = 163,696/x
  3. Step 3: Cross multiply
    123,954x = 163,696 × 163,696
  4. Step 4: Simplify right side
    123,954x = 26,796,380,416
  5. Step 5: Solve for x
    x = 26,796,380,416/123,954
  6. Step 6: Final answer
    x = 216,180.04

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.