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Finding the Third Proportional to 122,104.13 and 190,972.69

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Solution

The third proportional to 122,104.13 and 190,972.69 is: 298,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,104.13 : 190,972.69 = 190,972.69 : x
  2. Step 2: Convert to fraction form
    122,104.13/190,972.69 = 190,972.69/x
  3. Step 3: Cross multiply
    122,104.13x = 190,972.69 × 190,972.69
  4. Step 4: Simplify right side
    122,104.13x = 36,470,567,370.97
  5. Step 5: Solve for x
    x = 36,470,567,370.97/122,104.13
  6. Step 6: Final answer
    x = 298,684.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.