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Finding the Third Proportional to 122,635.69 and 273,970.69

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Solution

The third proportional to 122,635.69 and 273,970.69 is: 612,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,635.69 : 273,970.69 = 273,970.69 : x
  2. Step 2: Convert to fraction form
    122,635.69/273,970.69 = 273,970.69/x
  3. Step 3: Cross multiply
    122,635.69x = 273,970.69 × 273,970.69
  4. Step 4: Simplify right side
    122,635.69x = 75,059,937,609.22
  5. Step 5: Solve for x
    x = 75,059,937,609.22/122,635.69
  6. Step 6: Final answer
    x = 612,056.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.