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Finding the Third Proportional to 122,897.25 and 168,194.25

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Solution

The third proportional to 122,897.25 and 168,194.25 is: 230,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,897.25 : 168,194.25 = 168,194.25 : x
  2. Step 2: Convert to fraction form
    122,897.25/168,194.25 = 168,194.25/x
  3. Step 3: Cross multiply
    122,897.25x = 168,194.25 × 168,194.25
  4. Step 4: Simplify right side
    122,897.25x = 28,289,305,733.06
  5. Step 5: Solve for x
    x = 28,289,305,733.06/122,897.25
  6. Step 6: Final answer
    x = 230,186.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.