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Finding the Third Proportional to 125,285 and 273,182

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Solution

The third proportional to 125,285 and 273,182 is: 595,669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,285 : 273,182 = 273,182 : x
  2. Step 2: Convert to fraction form
    125,285/273,182 = 273,182/x
  3. Step 3: Cross multiply
    125,285x = 273,182 × 273,182
  4. Step 4: Simplify right side
    125,285x = 74,628,405,124
  5. Step 5: Solve for x
    x = 74,628,405,124/125,285
  6. Step 6: Final answer
    x = 595,669.12

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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.