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Finding the Third Proportional to 122,302 and 168,994

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Solution

The third proportional to 122,302 and 168,994 is: 233,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,302 : 168,994 = 168,994 : x
  2. Step 2: Convert to fraction form
    122,302/168,994 = 168,994/x
  3. Step 3: Cross multiply
    122,302x = 168,994 × 168,994
  4. Step 4: Simplify right side
    122,302x = 28,558,972,036
  5. Step 5: Solve for x
    x = 28,558,972,036/122,302
  6. Step 6: Final answer
    x = 233,511.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.