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Finding the Third Proportional to 122,903.25 and 168,201.38

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Solution

The third proportional to 122,903.25 and 168,201.38 is: 230,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,903.25 : 168,201.38 = 168,201.38 : x
  2. Step 2: Convert to fraction form
    122,903.25/168,201.38 = 168,201.38/x
  3. Step 3: Cross multiply
    122,903.25x = 168,201.38 × 168,201.38
  4. Step 4: Simplify right side
    122,903.25x = 28,291,702,551.89
  5. Step 5: Solve for x
    x = 28,291,702,551.89/122,903.25
  6. Step 6: Final answer
    x = 230,194.91

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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.