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Finding the Third Proportional to 129,078 and 273,825

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Solution

The third proportional to 129,078 and 273,825 is: 580,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,078 : 273,825 = 273,825 : x
  2. Step 2: Convert to fraction form
    129,078/273,825 = 273,825/x
  3. Step 3: Cross multiply
    129,078x = 273,825 × 273,825
  4. Step 4: Simplify right side
    129,078x = 74,980,130,625
  5. Step 5: Solve for x
    x = 74,980,130,625/129,078
  6. Step 6: Final answer
    x = 580,890.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.