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Finding the Third Proportional to 125,649 and 273,889.13

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Solution

The third proportional to 125,649 and 273,889.13 is: 597,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,649 : 273,889.13 = 273,889.13 : x
  2. Step 2: Convert to fraction form
    125,649/273,889.13 = 273,889.13/x
  3. Step 3: Cross multiply
    125,649x = 273,889.13 × 273,889.13
  4. Step 4: Simplify right side
    125,649x = 75,015,252,793.27
  5. Step 5: Solve for x
    x = 75,015,252,793.27/125,649
  6. Step 6: Final answer
    x = 597,022.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.